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Finding the Fourth Proportional to 656.75, 984.45 and 291.17

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Solution

The fourth proportional to 656.75, 984.45 and 291.17 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 984.45 = 291.17 : x
  2. Step 2: Convert to fraction form
    656.75/984.45 = 291.17/x
  3. Step 3: Cross multiply
    656.75x = 984.45 × 291.17
  4. Step 4: Simplify right side
    656.75x = 286,642.31
  5. Step 5: Solve for x
    x = 286,642.31/656.75
  6. Step 6: Final answer
    x = 436.46

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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.