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Finding the Fourth Proportional to 545.02, 752.19 and 312.14

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Solution

The fourth proportional to 545.02, 752.19 and 312.14 is: 430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 752.19 = 312.14 : x
  2. Step 2: Convert to fraction form
    545.02/752.19 = 312.14/x
  3. Step 3: Cross multiply
    545.02x = 752.19 × 312.14
  4. Step 4: Simplify right side
    545.02x = 234,788.59
  5. Step 5: Solve for x
    x = 234,788.59/545.02
  6. Step 6: Final answer
    x = 430.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.