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Finding the Fourth Proportional to 543.65, 750.25 and 322.56

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Solution

The fourth proportional to 543.65, 750.25 and 322.56 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.65 : 750.25 = 322.56 : x
  2. Step 2: Convert to fraction form
    543.65/750.25 = 322.56/x
  3. Step 3: Cross multiply
    543.65x = 750.25 × 322.56
  4. Step 4: Simplify right side
    543.65x = 242,000.64
  5. Step 5: Solve for x
    x = 242,000.64/543.65
  6. Step 6: Final answer
    x = 445.14

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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.