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Finding the Fourth Proportional to 373.83, 560.42 and 264.18

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Solution

The fourth proportional to 373.83, 560.42 and 264.18 is: 396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.83 : 560.42 = 264.18 : x
  2. Step 2: Convert to fraction form
    373.83/560.42 = 264.18/x
  3. Step 3: Cross multiply
    373.83x = 560.42 × 264.18
  4. Step 4: Simplify right side
    373.83x = 148,051.76
  5. Step 5: Solve for x
    x = 148,051.76/373.83
  6. Step 6: Final answer
    x = 396.04

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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.