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Finding the Fourth Proportional to 468.36, 702.63 and 315.79

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Solution

The fourth proportional to 468.36, 702.63 and 315.79 is: 473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 702.63 = 315.79 : x
  2. Step 2: Convert to fraction form
    468.36/702.63 = 315.79/x
  3. Step 3: Cross multiply
    468.36x = 702.63 × 315.79
  4. Step 4: Simplify right side
    468.36x = 221,881.01
  5. Step 5: Solve for x
    x = 221,881.01/468.36
  6. Step 6: Final answer
    x = 473.74

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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.