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Finding the Fourth Proportional to 597.60, 895.17 and 353.53

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Solution

The fourth proportional to 597.60, 895.17 and 353.53 is: 529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 895.17 = 353.53 : x
  2. Step 2: Convert to fraction form
    597.60/895.17 = 353.53/x
  3. Step 3: Cross multiply
    597.60x = 895.17 × 353.53
  4. Step 4: Simplify right side
    597.60x = 316,471.89
  5. Step 5: Solve for x
    x = 316,471.89/597.60
  6. Step 6: Final answer
    x = 529.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.