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Finding the Fourth Proportional to 440.04, 607.14 and 284.92

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Solution

The fourth proportional to 440.04, 607.14 and 284.92 is: 393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.04 : 607.14 = 284.92 : x
  2. Step 2: Convert to fraction form
    440.04/607.14 = 284.92/x
  3. Step 3: Cross multiply
    440.04x = 607.14 × 284.92
  4. Step 4: Simplify right side
    440.04x = 172,986.33
  5. Step 5: Solve for x
    x = 172,986.33/440.04
  6. Step 6: Final answer
    x = 393.12

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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.