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Finding the Fourth Proportional to 545.55, 752.34 and 421.01

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Solution

The fourth proportional to 545.55, 752.34 and 421.01 is: 580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.55 : 752.34 = 421.01 : x
  2. Step 2: Convert to fraction form
    545.55/752.34 = 421.01/x
  3. Step 3: Cross multiply
    545.55x = 752.34 × 421.01
  4. Step 4: Simplify right side
    545.55x = 316,742.66
  5. Step 5: Solve for x
    x = 316,742.66/545.55
  6. Step 6: Final answer
    x = 580.59

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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.