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Finding the Fourth Proportional to 545.38, 752.74 and 420.84

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Solution

The fourth proportional to 545.38, 752.74 and 420.84 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.38 : 752.74 = 420.84 : x
  2. Step 2: Convert to fraction form
    545.38/752.74 = 420.84/x
  3. Step 3: Cross multiply
    545.38x = 752.74 × 420.84
  4. Step 4: Simplify right side
    545.38x = 316,782.05
  5. Step 5: Solve for x
    x = 316,782.05/545.38
  6. Step 6: Final answer
    x = 580.85

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1.5x scale

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.