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Finding the Fourth Proportional to 440.37, 607.50 and 282.96

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Solution

The fourth proportional to 440.37, 607.50 and 282.96 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.37 : 607.50 = 282.96 : x
  2. Step 2: Convert to fraction form
    440.37/607.50 = 282.96/x
  3. Step 3: Cross multiply
    440.37x = 607.50 × 282.96
  4. Step 4: Simplify right side
    440.37x = 171,898.20
  5. Step 5: Solve for x
    x = 171,898.20/440.37
  6. Step 6: Final answer
    x = 390.35

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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.