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Finding the Fourth Proportional to 659.70, 909.67 and 491.70

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Solution

The fourth proportional to 659.70, 909.67 and 491.70 is: 678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.70 : 909.67 = 491.70 : x
  2. Step 2: Convert to fraction form
    659.70/909.67 = 491.70/x
  3. Step 3: Cross multiply
    659.70x = 909.67 × 491.70
  4. Step 4: Simplify right side
    659.70x = 447,284.74
  5. Step 5: Solve for x
    x = 447,284.74/659.70
  6. Step 6: Final answer
    x = 678.01

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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.