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Finding the Fourth Proportional to 545.77, 753.14 and 312.88

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Solution

The fourth proportional to 545.77, 753.14 and 312.88 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.77 : 753.14 = 312.88 : x
  2. Step 2: Convert to fraction form
    545.77/753.14 = 312.88/x
  3. Step 3: Cross multiply
    545.77x = 753.14 × 312.88
  4. Step 4: Simplify right side
    545.77x = 235,642.44
  5. Step 5: Solve for x
    x = 235,642.44/545.77
  6. Step 6: Final answer
    x = 431.76

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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.