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Finding the Fourth Proportional to 614.67, 848.25 and 352.70

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Solution

The fourth proportional to 614.67, 848.25 and 352.70 is: 486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.67 : 848.25 = 352.70 : x
  2. Step 2: Convert to fraction form
    614.67/848.25 = 352.70/x
  3. Step 3: Cross multiply
    614.67x = 848.25 × 352.70
  4. Step 4: Simplify right side
    614.67x = 299,173.53
  5. Step 5: Solve for x
    x = 299,173.53/614.67
  6. Step 6: Final answer
    x = 486.72

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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.