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Finding the Fourth Proportional to 666.74, 999.95 and 256.07

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Solution

The fourth proportional to 666.74, 999.95 and 256.07 is: 384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 999.95 = 256.07 : x
  2. Step 2: Convert to fraction form
    666.74/999.95 = 256.07/x
  3. Step 3: Cross multiply
    666.74x = 999.95 × 256.07
  4. Step 4: Simplify right side
    666.74x = 256,050.92
  5. Step 5: Solve for x
    x = 256,050.92/666.74
  6. Step 6: Final answer
    x = 384.04

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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.