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Finding the Fourth Proportional to 488.16, 735.86 and 459.95

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Solution

The fourth proportional to 488.16, 735.86 and 459.95 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.16 : 735.86 = 459.95 : x
  2. Step 2: Convert to fraction form
    488.16/735.86 = 459.95/x
  3. Step 3: Cross multiply
    488.16x = 735.86 × 459.95
  4. Step 4: Simplify right side
    488.16x = 338,452.83
  5. Step 5: Solve for x
    x = 338,452.83/488.16
  6. Step 6: Final answer
    x = 693.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.