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Finding the Fourth Proportional to 467.34, 703.95 and 359.88

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Solution

The fourth proportional to 467.34, 703.95 and 359.88 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.34 : 703.95 = 359.88 : x
  2. Step 2: Convert to fraction form
    467.34/703.95 = 359.88/x
  3. Step 3: Cross multiply
    467.34x = 703.95 × 359.88
  4. Step 4: Simplify right side
    467.34x = 253,337.53
  5. Step 5: Solve for x
    x = 253,337.53/467.34
  6. Step 6: Final answer
    x = 542.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.