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Finding the Fourth Proportional to 565.47, 780.10 and 434.25

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Solution

The fourth proportional to 565.47, 780.10 and 434.25 is: 599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.47 : 780.10 = 434.25 : x
  2. Step 2: Convert to fraction form
    565.47/780.10 = 434.25/x
  3. Step 3: Cross multiply
    565.47x = 780.10 × 434.25
  4. Step 4: Simplify right side
    565.47x = 338,758.43
  5. Step 5: Solve for x
    x = 338,758.43/565.47
  6. Step 6: Final answer
    x = 599.07

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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.