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Finding the Fourth Proportional to 676.88, 934.10 and 470.00

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Solution

The fourth proportional to 676.88, 934.10 and 470.00 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 934.10 = 470.00 : x
  2. Step 2: Convert to fraction form
    676.88/934.10 = 470.00/x
  3. Step 3: Cross multiply
    676.88x = 934.10 × 470.00
  4. Step 4: Simplify right side
    676.88x = 439,019.98
  5. Step 5: Solve for x
    x = 439,019.98/676.88
  6. Step 6: Final answer
    x = 648.60

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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.