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Finding the Fourth Proportional to 473.35, 709.01 and 460.39

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Solution

The fourth proportional to 473.35, 709.01 and 460.39 is: 689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.35 : 709.01 = 460.39 : x
  2. Step 2: Convert to fraction form
    473.35/709.01 = 460.39/x
  3. Step 3: Cross multiply
    473.35x = 709.01 × 460.39
  4. Step 4: Simplify right side
    473.35x = 326,420.49
  5. Step 5: Solve for x
    x = 326,420.49/473.35
  6. Step 6: Final answer
    x = 689.60

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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.