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Finding the Fourth Proportional to 597.71, 824.83 and 364.83

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Solution

The fourth proportional to 597.71, 824.83 and 364.83 is: 503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.71 : 824.83 = 364.83 : x
  2. Step 2: Convert to fraction form
    597.71/824.83 = 364.83/x
  3. Step 3: Cross multiply
    597.71x = 824.83 × 364.83
  4. Step 4: Simplify right side
    597.71x = 300,921.82
  5. Step 5: Solve for x
    x = 300,921.82/597.71
  6. Step 6: Final answer
    x = 503.46

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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.