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Finding the Fourth Proportional to 482.04, 717.84 and 470.70

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Solution

The fourth proportional to 482.04, 717.84 and 470.70 is: 700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.04 : 717.84 = 470.70 : x
  2. Step 2: Convert to fraction form
    482.04/717.84 = 470.70/x
  3. Step 3: Cross multiply
    482.04x = 717.84 × 470.70
  4. Step 4: Simplify right side
    482.04x = 337,887.29
  5. Step 5: Solve for x
    x = 337,887.29/482.04
  6. Step 6: Final answer
    x = 700.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.