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Finding the Fourth Proportional to 545.66, 751.56 and 429.02

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Solution

The fourth proportional to 545.66, 751.56 and 429.02 is: 590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.66 : 751.56 = 429.02 : x
  2. Step 2: Convert to fraction form
    545.66/751.56 = 429.02/x
  3. Step 3: Cross multiply
    545.66x = 751.56 × 429.02
  4. Step 4: Simplify right side
    545.66x = 322,434.27
  5. Step 5: Solve for x
    x = 322,434.27/545.66
  6. Step 6: Final answer
    x = 590.91

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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.