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Finding the Fourth Proportional to 545.76, 752.38 and 466.74

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Solution

The fourth proportional to 545.76, 752.38 and 466.74 is: 643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 752.38 = 466.74 : x
  2. Step 2: Convert to fraction form
    545.76/752.38 = 466.74/x
  3. Step 3: Cross multiply
    545.76x = 752.38 × 466.74
  4. Step 4: Simplify right side
    545.76x = 351,165.84
  5. Step 5: Solve for x
    x = 351,165.84/545.76
  6. Step 6: Final answer
    x = 643.44

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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.