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Finding the Fourth Proportional to 287.91, 429.66 and 257.16

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Solution

The fourth proportional to 287.91, 429.66 and 257.16 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.91 : 429.66 = 257.16 : x
  2. Step 2: Convert to fraction form
    287.91/429.66 = 257.16/x
  3. Step 3: Cross multiply
    287.91x = 429.66 × 257.16
  4. Step 4: Simplify right side
    287.91x = 110,491.37
  5. Step 5: Solve for x
    x = 110,491.37/287.91
  6. Step 6: Final answer
    x = 383.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.