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Finding the Fourth Proportional to 597.24, 901.13 and 592.38

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Solution

The fourth proportional to 597.24, 901.13 and 592.38 is: 893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 901.13 = 592.38 : x
  2. Step 2: Convert to fraction form
    597.24/901.13 = 592.38/x
  3. Step 3: Cross multiply
    597.24x = 901.13 × 592.38
  4. Step 4: Simplify right side
    597.24x = 533,808.43
  5. Step 5: Solve for x
    x = 533,808.43/597.24
  6. Step 6: Final answer
    x = 893.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.