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Finding the Fourth Proportional to 545.04, 752.04 and 320.96

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Solution

The fourth proportional to 545.04, 752.04 and 320.96 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.04 : 752.04 = 320.96 : x
  2. Step 2: Convert to fraction form
    545.04/752.04 = 320.96/x
  3. Step 3: Cross multiply
    545.04x = 752.04 × 320.96
  4. Step 4: Simplify right side
    545.04x = 241,374.76
  5. Step 5: Solve for x
    x = 241,374.76/545.04
  6. Step 6: Final answer
    x = 442.86

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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.