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Finding the Fourth Proportional to 971.36, 1,456.58 and 313.11

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Solution

The fourth proportional to 971.36, 1,456.58 and 313.11 is: 469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.36 : 1,456.58 = 313.11 : x
  2. Step 2: Convert to fraction form
    971.36/1,456.58 = 313.11/x
  3. Step 3: Cross multiply
    971.36x = 1,456.58 × 313.11
  4. Step 4: Simplify right side
    971.36x = 456,070.55
  5. Step 5: Solve for x
    x = 456,070.55/971.36
  6. Step 6: Final answer
    x = 469.52

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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.