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Finding the Fourth Proportional to 560.52, 841.95 and 542.07

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Solution

The fourth proportional to 560.52, 841.95 and 542.07 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.52 : 841.95 = 542.07 : x
  2. Step 2: Convert to fraction form
    560.52/841.95 = 542.07/x
  3. Step 3: Cross multiply
    560.52x = 841.95 × 542.07
  4. Step 4: Simplify right side
    560.52x = 456,395.84
  5. Step 5: Solve for x
    x = 456,395.84/560.52
  6. Step 6: Final answer
    x = 814.24

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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.