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Finding the Fourth Proportional to 593.52, 890.16 and 497.04

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Solution

The fourth proportional to 593.52, 890.16 and 497.04 is: 745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 890.16 = 497.04 : x
  2. Step 2: Convert to fraction form
    593.52/890.16 = 497.04/x
  3. Step 3: Cross multiply
    593.52x = 890.16 × 497.04
  4. Step 4: Simplify right side
    593.52x = 442,445.13
  5. Step 5: Solve for x
    x = 442,445.13/593.52
  6. Step 6: Final answer
    x = 745.46

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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.