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Finding the Fourth Proportional to 543.86, 750.58 and 456.38

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Solution

The fourth proportional to 543.86, 750.58 and 456.38 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 750.58 = 456.38 : x
  2. Step 2: Convert to fraction form
    543.86/750.58 = 456.38/x
  3. Step 3: Cross multiply
    543.86x = 750.58 × 456.38
  4. Step 4: Simplify right side
    543.86x = 342,549.70
  5. Step 5: Solve for x
    x = 342,549.70/543.86
  6. Step 6: Final answer
    x = 629.85

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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.