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Finding the Fourth Proportional to 705.72, 974.05 and 470.08

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Solution

The fourth proportional to 705.72, 974.05 and 470.08 is: 648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 974.05 = 470.08 : x
  2. Step 2: Convert to fraction form
    705.72/974.05 = 470.08/x
  3. Step 3: Cross multiply
    705.72x = 974.05 × 470.08
  4. Step 4: Simplify right side
    705.72x = 457,881.42
  5. Step 5: Solve for x
    x = 457,881.42/705.72
  6. Step 6: Final answer
    x = 648.81

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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.