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Finding the Fourth Proportional to 971.58, 1,457.47 and 313.29

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Solution

The fourth proportional to 971.58, 1,457.47 and 313.29 is: 469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.58 : 1,457.47 = 313.29 : x
  2. Step 2: Convert to fraction form
    971.58/1,457.47 = 313.29/x
  3. Step 3: Cross multiply
    971.58x = 1,457.47 × 313.29
  4. Step 4: Simplify right side
    971.58x = 456,610.78
  5. Step 5: Solve for x
    x = 456,610.78/971.58
  6. Step 6: Final answer
    x = 469.97

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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.