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Finding the Fourth Proportional to 557.46, 834.98 and 465.53

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Solution

The fourth proportional to 557.46, 834.98 and 465.53 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 834.98 = 465.53 : x
  2. Step 2: Convert to fraction form
    557.46/834.98 = 465.53/x
  3. Step 3: Cross multiply
    557.46x = 834.98 × 465.53
  4. Step 4: Simplify right side
    557.46x = 388,701.74
  5. Step 5: Solve for x
    x = 388,701.74/557.46
  6. Step 6: Final answer
    x = 697.27

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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.