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Finding the Fourth Proportional to 410.13, 564.84 and 285.59

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Solution

The fourth proportional to 410.13, 564.84 and 285.59 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.13 : 564.84 = 285.59 : x
  2. Step 2: Convert to fraction form
    410.13/564.84 = 285.59/x
  3. Step 3: Cross multiply
    410.13x = 564.84 × 285.59
  4. Step 4: Simplify right side
    410.13x = 161,314.07
  5. Step 5: Solve for x
    x = 161,314.07/410.13
  6. Step 6: Final answer
    x = 393.32

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Why These Related Problems?

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