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Finding the Fourth Proportional to 560.29, 773.88 and 364.07

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Solution

The fourth proportional to 560.29, 773.88 and 364.07 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.29 : 773.88 = 364.07 : x
  2. Step 2: Convert to fraction form
    560.29/773.88 = 364.07/x
  3. Step 3: Cross multiply
    560.29x = 773.88 × 364.07
  4. Step 4: Simplify right side
    560.29x = 281,746.49
  5. Step 5: Solve for x
    x = 281,746.49/560.29
  6. Step 6: Final answer
    x = 502.86

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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.