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Finding the Fourth Proportional to 543.49, 815.24 and 312.21

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Solution

The fourth proportional to 543.49, 815.24 and 312.21 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 815.24 = 312.21 : x
  2. Step 2: Convert to fraction form
    543.49/815.24 = 312.21/x
  3. Step 3: Cross multiply
    543.49x = 815.24 × 312.21
  4. Step 4: Simplify right side
    543.49x = 254,526.86
  5. Step 5: Solve for x
    x = 254,526.86/543.49
  6. Step 6: Final answer
    x = 468.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.