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Finding the Fourth Proportional to 287.64, 430.84 and 266.98

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Solution

The fourth proportional to 287.64, 430.84 and 266.98 is: 399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 430.84 = 266.98 : x
  2. Step 2: Convert to fraction form
    287.64/430.84 = 266.98/x
  3. Step 3: Cross multiply
    287.64x = 430.84 × 266.98
  4. Step 4: Simplify right side
    287.64x = 115,025.66
  5. Step 5: Solve for x
    x = 115,025.66/287.64
  6. Step 6: Final answer
    x = 399.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.