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Finding the Fourth Proportional to 705.87, 974.53 and 470.16

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Solution

The fourth proportional to 705.87, 974.53 and 470.16 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 974.53 = 470.16 : x
  2. Step 2: Convert to fraction form
    705.87/974.53 = 470.16/x
  3. Step 3: Cross multiply
    705.87x = 974.53 × 470.16
  4. Step 4: Simplify right side
    705.87x = 458,185.02
  5. Step 5: Solve for x
    x = 458,185.02/705.87
  6. Step 6: Final answer
    x = 649.11

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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.