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Finding the Fourth Proportional to 703.64, 971.45 and 470.90

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Solution

The fourth proportional to 703.64, 971.45 and 470.90 is: 650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 971.45 = 470.90 : x
  2. Step 2: Convert to fraction form
    703.64/971.45 = 470.90/x
  3. Step 3: Cross multiply
    703.64x = 971.45 × 470.90
  4. Step 4: Simplify right side
    703.64x = 457,448.59
  5. Step 5: Solve for x
    x = 457,448.59/703.64
  6. Step 6: Final answer
    x = 650.12

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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.