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Finding the Fourth Proportional to 470.68, 702.89 and 465.60

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Solution

The fourth proportional to 470.68, 702.89 and 465.60 is: 695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 702.89 = 465.60 : x
  2. Step 2: Convert to fraction form
    470.68/702.89 = 465.60/x
  3. Step 3: Cross multiply
    470.68x = 702.89 × 465.60
  4. Step 4: Simplify right side
    470.68x = 327,265.58
  5. Step 5: Solve for x
    x = 327,265.58/470.68
  6. Step 6: Final answer
    x = 695.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.