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Finding the Fourth Proportional to 287.48, 432.84 and 253.46

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Solution

The fourth proportional to 287.48, 432.84 and 253.46 is: 381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 432.84 = 253.46 : x
  2. Step 2: Convert to fraction form
    287.48/432.84 = 253.46/x
  3. Step 3: Cross multiply
    287.48x = 432.84 × 253.46
  4. Step 4: Simplify right side
    287.48x = 109,706.36
  5. Step 5: Solve for x
    x = 109,706.36/287.48
  6. Step 6: Final answer
    x = 381.61

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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.