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Finding the Fourth Proportional to 565.52, 779.52 and 461.04

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Solution

The fourth proportional to 565.52, 779.52 and 461.04 is: 635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 779.52 = 461.04 : x
  2. Step 2: Convert to fraction form
    565.52/779.52 = 461.04/x
  3. Step 3: Cross multiply
    565.52x = 779.52 × 461.04
  4. Step 4: Simplify right side
    565.52x = 359,389.90
  5. Step 5: Solve for x
    x = 359,389.90/565.52
  6. Step 6: Final answer
    x = 635.50

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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.