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Finding the Fourth Proportional to 470.06, 702.93 and 347.66

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Solution

The fourth proportional to 470.06, 702.93 and 347.66 is: 519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 702.93 = 347.66 : x
  2. Step 2: Convert to fraction form
    470.06/702.93 = 347.66/x
  3. Step 3: Cross multiply
    470.06x = 702.93 × 347.66
  4. Step 4: Simplify right side
    470.06x = 244,380.64
  5. Step 5: Solve for x
    x = 244,380.64/470.06
  6. Step 6: Final answer
    x = 519.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.