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Finding the Fourth Proportional to 287.48, 431.67 and 266.15

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Solution

The fourth proportional to 287.48, 431.67 and 266.15 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 431.67 = 266.15 : x
  2. Step 2: Convert to fraction form
    287.48/431.67 = 266.15/x
  3. Step 3: Cross multiply
    287.48x = 431.67 × 266.15
  4. Step 4: Simplify right side
    287.48x = 114,886.81
  5. Step 5: Solve for x
    x = 114,886.81/287.48
  6. Step 6: Final answer
    x = 399.64

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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.