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Finding the Fourth Proportional to 429.12, 590.85 and 373.86

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Solution

The fourth proportional to 429.12, 590.85 and 373.86 is: 514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 590.85 = 373.86 : x
  2. Step 2: Convert to fraction form
    429.12/590.85 = 373.86/x
  3. Step 3: Cross multiply
    429.12x = 590.85 × 373.86
  4. Step 4: Simplify right side
    429.12x = 220,895.18
  5. Step 5: Solve for x
    x = 220,895.18/429.12
  6. Step 6: Final answer
    x = 514.76

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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.