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Finding the Fourth Proportional to 404.02, 557.40 and 256.72

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Solution

The fourth proportional to 404.02, 557.40 and 256.72 is: 354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.02 : 557.40 = 256.72 : x
  2. Step 2: Convert to fraction form
    404.02/557.40 = 256.72/x
  3. Step 3: Cross multiply
    404.02x = 557.40 × 256.72
  4. Step 4: Simplify right side
    404.02x = 143,095.73
  5. Step 5: Solve for x
    x = 143,095.73/404.02
  6. Step 6: Final answer
    x = 354.18

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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.