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Finding the Fourth Proportional to 468.60, 701.51 and 347.40

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Solution

The fourth proportional to 468.60, 701.51 and 347.40 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 701.51 = 347.40 : x
  2. Step 2: Convert to fraction form
    468.60/701.51 = 347.40/x
  3. Step 3: Cross multiply
    468.60x = 701.51 × 347.40
  4. Step 4: Simplify right side
    468.60x = 243,702.84
  5. Step 5: Solve for x
    x = 243,702.84/468.60
  6. Step 6: Final answer
    x = 520.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.