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Finding the Fourth Proportional to 468.66, 702.54 and 263.02

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Solution

The fourth proportional to 468.66, 702.54 and 263.02 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 702.54 = 263.02 : x
  2. Step 2: Convert to fraction form
    468.66/702.54 = 263.02/x
  3. Step 3: Cross multiply
    468.66x = 702.54 × 263.02
  4. Step 4: Simplify right side
    468.66x = 184,782.07
  5. Step 5: Solve for x
    x = 184,782.07/468.66
  6. Step 6: Final answer
    x = 394.28

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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.