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Finding the Fourth Proportional to 687.32, 948.19 and 478.00

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Solution

The fourth proportional to 687.32, 948.19 and 478.00 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.32 : 948.19 = 478.00 : x
  2. Step 2: Convert to fraction form
    687.32/948.19 = 478.00/x
  3. Step 3: Cross multiply
    687.32x = 948.19 × 478.00
  4. Step 4: Simplify right side
    687.32x = 453,231.25
  5. Step 5: Solve for x
    x = 453,231.25/687.32
  6. Step 6: Final answer
    x = 659.42

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1.5x scale

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.