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Finding the Fourth Proportional to 429.30, 640.80 and 374.58

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Solution

The fourth proportional to 429.30, 640.80 and 374.58 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 640.80 = 374.58 : x
  2. Step 2: Convert to fraction form
    429.30/640.80 = 374.58/x
  3. Step 3: Cross multiply
    429.30x = 640.80 × 374.58
  4. Step 4: Simplify right side
    429.30x = 240,030.86
  5. Step 5: Solve for x
    x = 240,030.86/429.30
  6. Step 6: Final answer
    x = 559.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.