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Finding the Fourth Proportional to 545.10, 751.59 and 405.24

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Solution

The fourth proportional to 545.10, 751.59 and 405.24 is: 558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 751.59 = 405.24 : x
  2. Step 2: Convert to fraction form
    545.10/751.59 = 405.24/x
  3. Step 3: Cross multiply
    545.10x = 751.59 × 405.24
  4. Step 4: Simplify right side
    545.10x = 304,574.33
  5. Step 5: Solve for x
    x = 304,574.33/545.10
  6. Step 6: Final answer
    x = 558.75

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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.