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Finding the Fourth Proportional to 429.98, 592.31 and 342.50

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Solution

The fourth proportional to 429.98, 592.31 and 342.50 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 592.31 = 342.50 : x
  2. Step 2: Convert to fraction form
    429.98/592.31 = 342.50/x
  3. Step 3: Cross multiply
    429.98x = 592.31 × 342.50
  4. Step 4: Simplify right side
    429.98x = 202,864.07
  5. Step 5: Solve for x
    x = 202,864.07/429.98
  6. Step 6: Final answer
    x = 471.80

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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.