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Finding the Fourth Proportional to 440.07, 659.12 and 285.53

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Solution

The fourth proportional to 440.07, 659.12 and 285.53 is: 427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.07 : 659.12 = 285.53 : x
  2. Step 2: Convert to fraction form
    440.07/659.12 = 285.53/x
  3. Step 3: Cross multiply
    440.07x = 659.12 × 285.53
  4. Step 4: Simplify right side
    440.07x = 188,193.81
  5. Step 5: Solve for x
    x = 188,193.81/440.07
  6. Step 6: Final answer
    x = 427.65

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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.