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Finding the Fourth Proportional to 659.67, 909.84 and 460.50

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Solution

The fourth proportional to 659.67, 909.84 and 460.50 is: 635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 909.84 = 460.50 : x
  2. Step 2: Convert to fraction form
    659.67/909.84 = 460.50/x
  3. Step 3: Cross multiply
    659.67x = 909.84 × 460.50
  4. Step 4: Simplify right side
    659.67x = 418,981.32
  5. Step 5: Solve for x
    x = 418,981.32/659.67
  6. Step 6: Final answer
    x = 635.14

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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.