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Finding the Fourth Proportional to 543.71, 750.42 and 322.65

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Solution

The fourth proportional to 543.71, 750.42 and 322.65 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.71 : 750.42 = 322.65 : x
  2. Step 2: Convert to fraction form
    543.71/750.42 = 322.65/x
  3. Step 3: Cross multiply
    543.71x = 750.42 × 322.65
  4. Step 4: Simplify right side
    543.71x = 242,123.01
  5. Step 5: Solve for x
    x = 242,123.01/543.71
  6. Step 6: Final answer
    x = 445.31

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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.