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Finding the Fourth Proportional to 545.80, 816.30 and 459.40

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Solution

The fourth proportional to 545.80, 816.30 and 459.40 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 816.30 = 459.40 : x
  2. Step 2: Convert to fraction form
    545.80/816.30 = 459.40/x
  3. Step 3: Cross multiply
    545.80x = 816.30 × 459.40
  4. Step 4: Simplify right side
    545.80x = 375,008.22
  5. Step 5: Solve for x
    x = 375,008.22/545.80
  6. Step 6: Final answer
    x = 687.08

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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.