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Finding the Fourth Proportional to 971.16, 1,456.58 and 287

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Solution

The fourth proportional to 971.16, 1,456.58 and 287 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.16 : 1,456.58 = 287 : x
  2. Step 2: Convert to fraction form
    971.16/1,456.58 = 287/x
  3. Step 3: Cross multiply
    971.16x = 1,456.58 × 287
  4. Step 4: Simplify right side
    971.16x = 418,038.46
  5. Step 5: Solve for x
    x = 418,038.46/971.16
  6. Step 6: Final answer
    x = 430.45

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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.