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Finding the Fourth Proportional to 597.50, 824.64 and 364.76

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Solution

The fourth proportional to 597.50, 824.64 and 364.76 is: 503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.64 = 364.76 : x
  2. Step 2: Convert to fraction form
    597.50/824.64 = 364.76/x
  3. Step 3: Cross multiply
    597.50x = 824.64 × 364.76
  4. Step 4: Simplify right side
    597.50x = 300,795.69
  5. Step 5: Solve for x
    x = 300,795.69/597.50
  6. Step 6: Final answer
    x = 503.42

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.