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Finding the Fourth Proportional to 429.30, 642.35 and 256.06

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Solution

The fourth proportional to 429.30, 642.35 and 256.06 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 642.35 = 256.06 : x
  2. Step 2: Convert to fraction form
    429.30/642.35 = 256.06/x
  3. Step 3: Cross multiply
    429.30x = 642.35 × 256.06
  4. Step 4: Simplify right side
    429.30x = 164,480.38
  5. Step 5: Solve for x
    x = 164,480.38/429.30
  6. Step 6: Final answer
    x = 383.14

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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.