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Finding the Fourth Proportional to 560.71, 840.59 and 282.88

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Solution

The fourth proportional to 560.71, 840.59 and 282.88 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.71 : 840.59 = 282.88 : x
  2. Step 2: Convert to fraction form
    560.71/840.59 = 282.88/x
  3. Step 3: Cross multiply
    560.71x = 840.59 × 282.88
  4. Step 4: Simplify right side
    560.71x = 237,780.48
  5. Step 5: Solve for x
    x = 237,780.48/560.71
  6. Step 6: Final answer
    x = 424.07

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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.