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Finding the Fourth Proportional to 703.32, 969.02 and 470.04

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Solution

The fourth proportional to 703.32, 969.02 and 470.04 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.32 : 969.02 = 470.04 : x
  2. Step 2: Convert to fraction form
    703.32/969.02 = 470.04/x
  3. Step 3: Cross multiply
    703.32x = 969.02 × 470.04
  4. Step 4: Simplify right side
    703.32x = 455,478.16
  5. Step 5: Solve for x
    x = 455,478.16/703.32
  6. Step 6: Final answer
    x = 647.61

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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.