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Finding the Fourth Proportional to 593.16, 885.69 and 531.06

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Solution

The fourth proportional to 593.16, 885.69 and 531.06 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.16 : 885.69 = 531.06 : x
  2. Step 2: Convert to fraction form
    593.16/885.69 = 531.06/x
  3. Step 3: Cross multiply
    593.16x = 885.69 × 531.06
  4. Step 4: Simplify right side
    593.16x = 470,354.53
  5. Step 5: Solve for x
    x = 470,354.53/593.16
  6. Step 6: Final answer
    x = 792.96

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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.