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Finding the Fourth Proportional to 429.78, 592.35 and 313.14

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Solution

The fourth proportional to 429.78, 592.35 and 313.14 is: 431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.78 : 592.35 = 313.14 : x
  2. Step 2: Convert to fraction form
    429.78/592.35 = 313.14/x
  3. Step 3: Cross multiply
    429.78x = 592.35 × 313.14
  4. Step 4: Simplify right side
    429.78x = 185,488.48
  5. Step 5: Solve for x
    x = 185,488.48/429.78
  6. Step 6: Final answer
    x = 431.59

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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.