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Finding the Fourth Proportional to 593, 883.24 and 562.16

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Solution

The fourth proportional to 593, 883.24 and 562.16 is: 837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    593 : 883.24 = 562.16 : x
  2. Step 2: Convert to fraction form
    593/883.24 = 562.16/x
  3. Step 3: Cross multiply
    593x = 883.24 × 562.16
  4. Step 4: Simplify right side
    593x = 496,522.20
  5. Step 5: Solve for x
    x = 496,522.20/593
  6. Step 6: Final answer
    x = 837.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.