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Finding the Fourth Proportional to 565.57, 846.70 and 429.15

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Solution

The fourth proportional to 565.57, 846.70 and 429.15 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 846.70 = 429.15 : x
  2. Step 2: Convert to fraction form
    565.57/846.70 = 429.15/x
  3. Step 3: Cross multiply
    565.57x = 846.70 × 429.15
  4. Step 4: Simplify right side
    565.57x = 363,361.31
  5. Step 5: Solve for x
    x = 363,361.31/565.57
  6. Step 6: Final answer
    x = 642.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.