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Finding the Fourth Proportional to 519.14, 715.86 and 470

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Solution

The fourth proportional to 519.14, 715.86 and 470 is: 648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 715.86 = 470 : x
  2. Step 2: Convert to fraction form
    519.14/715.86 = 470/x
  3. Step 3: Cross multiply
    519.14x = 715.86 × 470
  4. Step 4: Simplify right side
    519.14x = 336,454.20
  5. Step 5: Solve for x
    x = 336,454.20/519.14
  6. Step 6: Final answer
    x = 648.10

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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.