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Finding the Fourth Proportional to 468.58, 701.10 and 314.86

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Solution

The fourth proportional to 468.58, 701.10 and 314.86 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.58 : 701.10 = 314.86 : x
  2. Step 2: Convert to fraction form
    468.58/701.10 = 314.86/x
  3. Step 3: Cross multiply
    468.58x = 701.10 × 314.86
  4. Step 4: Simplify right side
    468.58x = 220,748.35
  5. Step 5: Solve for x
    x = 220,748.35/468.58
  6. Step 6: Final answer
    x = 471.10

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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.