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Finding the Fourth Proportional to 545.07, 751.69 and 405.53

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Solution

The fourth proportional to 545.07, 751.69 and 405.53 is: 559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.07 : 751.69 = 405.53 : x
  2. Step 2: Convert to fraction form
    545.07/751.69 = 405.53/x
  3. Step 3: Cross multiply
    545.07x = 751.69 × 405.53
  4. Step 4: Simplify right side
    545.07x = 304,832.85
  5. Step 5: Solve for x
    x = 304,832.85/545.07
  6. Step 6: Final answer
    x = 559.26

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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.