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Finding the Fourth Proportional to 287.48, 430.98 and 264.70

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Solution

The fourth proportional to 287.48, 430.98 and 264.70 is: 396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 430.98 = 264.70 : x
  2. Step 2: Convert to fraction form
    287.48/430.98 = 264.70/x
  3. Step 3: Cross multiply
    287.48x = 430.98 × 264.70
  4. Step 4: Simplify right side
    287.48x = 114,080.41
  5. Step 5: Solve for x
    x = 114,080.41/287.48
  6. Step 6: Final answer
    x = 396.83

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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.