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Finding the Fourth Proportional to 545.07, 816.21 and 458.19

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Solution

The fourth proportional to 545.07, 816.21 and 458.19 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.07 : 816.21 = 458.19 : x
  2. Step 2: Convert to fraction form
    545.07/816.21 = 458.19/x
  3. Step 3: Cross multiply
    545.07x = 816.21 × 458.19
  4. Step 4: Simplify right side
    545.07x = 373,979.26
  5. Step 5: Solve for x
    x = 373,979.26/545.07
  6. Step 6: Final answer
    x = 686.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.