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Finding the Fourth Proportional to 470.35, 647.86 and 391.51

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Solution

The fourth proportional to 470.35, 647.86 and 391.51 is: 539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.35 : 647.86 = 391.51 : x
  2. Step 2: Convert to fraction form
    470.35/647.86 = 391.51/x
  3. Step 3: Cross multiply
    470.35x = 647.86 × 391.51
  4. Step 4: Simplify right side
    470.35x = 253,643.67
  5. Step 5: Solve for x
    x = 253,643.67/470.35
  6. Step 6: Final answer
    x = 539.27

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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.