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Finding the Fourth Proportional to 468.95, 702.14 and 382.07

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Solution

The fourth proportional to 468.95, 702.14 and 382.07 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.95 : 702.14 = 382.07 : x
  2. Step 2: Convert to fraction form
    468.95/702.14 = 382.07/x
  3. Step 3: Cross multiply
    468.95x = 702.14 × 382.07
  4. Step 4: Simplify right side
    468.95x = 268,261.21
  5. Step 5: Solve for x
    x = 268,261.21/468.95
  6. Step 6: Final answer
    x = 572.05

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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.