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Finding the Fourth Proportional to 545.64, 752.96 and 312.76

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Solution

The fourth proportional to 545.64, 752.96 and 312.76 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.64 : 752.96 = 312.76 : x
  2. Step 2: Convert to fraction form
    545.64/752.96 = 312.76/x
  3. Step 3: Cross multiply
    545.64x = 752.96 × 312.76
  4. Step 4: Simplify right side
    545.64x = 235,495.77
  5. Step 5: Solve for x
    x = 235,495.77/545.64
  6. Step 6: Final answer
    x = 431.60

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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.