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Finding the Fourth Proportional to 545.52, 752.30 and 420.98

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Solution

The fourth proportional to 545.52, 752.30 and 420.98 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 752.30 = 420.98 : x
  2. Step 2: Convert to fraction form
    545.52/752.30 = 420.98/x
  3. Step 3: Cross multiply
    545.52x = 752.30 × 420.98
  4. Step 4: Simplify right side
    545.52x = 316,703.25
  5. Step 5: Solve for x
    x = 316,703.25/545.52
  6. Step 6: Final answer
    x = 580.55

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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.