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Finding the Fourth Proportional to 296.16, 407.70 and 257.34

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Solution

The fourth proportional to 296.16, 407.70 and 257.34 is: 354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 407.70 = 257.34 : x
  2. Step 2: Convert to fraction form
    296.16/407.70 = 257.34/x
  3. Step 3: Cross multiply
    296.16x = 407.70 × 257.34
  4. Step 4: Simplify right side
    296.16x = 104,917.52
  5. Step 5: Solve for x
    x = 104,917.52/296.16
  6. Step 6: Final answer
    x = 354.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.