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Finding the Fourth Proportional to 565.92, 780.03 and 434.70

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Solution

The fourth proportional to 565.92, 780.03 and 434.70 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 780.03 = 434.70 : x
  2. Step 2: Convert to fraction form
    565.92/780.03 = 434.70/x
  3. Step 3: Cross multiply
    565.92x = 780.03 × 434.70
  4. Step 4: Simplify right side
    565.92x = 339,079.04
  5. Step 5: Solve for x
    x = 339,079.04/565.92
  6. Step 6: Final answer
    x = 599.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.