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Finding the Fourth Proportional to 971.64, 1,457.19 and 278.10

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Solution

The fourth proportional to 971.64, 1,457.19 and 278.10 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.64 : 1,457.19 = 278.10 : x
  2. Step 2: Convert to fraction form
    971.64/1,457.19 = 278.10/x
  3. Step 3: Cross multiply
    971.64x = 1,457.19 × 278.10
  4. Step 4: Simplify right side
    971.64x = 405,244.54
  5. Step 5: Solve for x
    x = 405,244.54/971.64
  6. Step 6: Final answer
    x = 417.07

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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.