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Finding the Fourth Proportional to 597.92, 824.58 and 373.68

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Solution

The fourth proportional to 597.92, 824.58 and 373.68 is: 515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 824.58 = 373.68 : x
  2. Step 2: Convert to fraction form
    597.92/824.58 = 373.68/x
  3. Step 3: Cross multiply
    597.92x = 824.58 × 373.68
  4. Step 4: Simplify right side
    597.92x = 308,129.05
  5. Step 5: Solve for x
    x = 308,129.05/597.92
  6. Step 6: Final answer
    x = 515.34

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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.