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Finding the Fourth Proportional to 545.61, 752.88 and 309.48

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Solution

The fourth proportional to 545.61, 752.88 and 309.48 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.61 : 752.88 = 309.48 : x
  2. Step 2: Convert to fraction form
    545.61/752.88 = 309.48/x
  3. Step 3: Cross multiply
    545.61x = 752.88 × 309.48
  4. Step 4: Simplify right side
    545.61x = 233,001.30
  5. Step 5: Solve for x
    x = 233,001.30/545.61
  6. Step 6: Final answer
    x = 427.05

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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.