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Finding the Fourth Proportional to 545.25, 752.45 and 312.38

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Solution

The fourth proportional to 545.25, 752.45 and 312.38 is: 431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 752.45 = 312.38 : x
  2. Step 2: Convert to fraction form
    545.25/752.45 = 312.38/x
  3. Step 3: Cross multiply
    545.25x = 752.45 × 312.38
  4. Step 4: Simplify right side
    545.25x = 235,045.01
  5. Step 5: Solve for x
    x = 235,045.01/545.25
  6. Step 6: Final answer
    x = 431.08

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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.