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Finding the Fourth Proportional to 562.13, 775.75 and 313.47

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Solution

The fourth proportional to 562.13, 775.75 and 313.47 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 775.75 = 313.47 : x
  2. Step 2: Convert to fraction form
    562.13/775.75 = 313.47/x
  3. Step 3: Cross multiply
    562.13x = 775.75 × 313.47
  4. Step 4: Simplify right side
    562.13x = 243,174.35
  5. Step 5: Solve for x
    x = 243,174.35/562.13
  6. Step 6: Final answer
    x = 432.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.