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Finding the Fourth Proportional to 565.53, 841.99 and 557.43

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Solution

The fourth proportional to 565.53, 841.99 and 557.43 is: 829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.53 : 841.99 = 557.43 : x
  2. Step 2: Convert to fraction form
    565.53/841.99 = 557.43/x
  3. Step 3: Cross multiply
    565.53x = 841.99 × 557.43
  4. Step 4: Simplify right side
    565.53x = 469,350.49
  5. Step 5: Solve for x
    x = 469,350.49/565.53
  6. Step 6: Final answer
    x = 829.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.