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Finding the Fourth Proportional to 614.57, 848.27 and 352.67

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Solution

The fourth proportional to 614.57, 848.27 and 352.67 is: 486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.57 : 848.27 = 352.67 : x
  2. Step 2: Convert to fraction form
    614.57/848.27 = 352.67/x
  3. Step 3: Cross multiply
    614.57x = 848.27 × 352.67
  4. Step 4: Simplify right side
    614.57x = 299,156.02
  5. Step 5: Solve for x
    x = 299,156.02/614.57
  6. Step 6: Final answer
    x = 486.78

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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.