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Finding the Fourth Proportional to 560.34, 772.95 and 497.37

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Solution

The fourth proportional to 560.34, 772.95 and 497.37 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.34 : 772.95 = 497.37 : x
  2. Step 2: Convert to fraction form
    560.34/772.95 = 497.37/x
  3. Step 3: Cross multiply
    560.34x = 772.95 × 497.37
  4. Step 4: Simplify right side
    560.34x = 384,442.14
  5. Step 5: Solve for x
    x = 384,442.14/560.34
  6. Step 6: Final answer
    x = 686.09

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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.