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Finding the Fourth Proportional to 565.52, 780.38 and 316.78

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Solution

The fourth proportional to 565.52, 780.38 and 316.78 is: 437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 780.38 = 316.78 : x
  2. Step 2: Convert to fraction form
    565.52/780.38 = 316.78/x
  3. Step 3: Cross multiply
    565.52x = 780.38 × 316.78
  4. Step 4: Simplify right side
    565.52x = 247,209.36
  5. Step 5: Solve for x
    x = 247,209.36/565.52
  6. Step 6: Final answer
    x = 437.14

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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.