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Finding the Fourth Proportional to 412.40, 568.86 and 257

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Solution

The fourth proportional to 412.40, 568.86 and 257 is: 354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 568.86 = 257 : x
  2. Step 2: Convert to fraction form
    412.40/568.86 = 257/x
  3. Step 3: Cross multiply
    412.40x = 568.86 × 257
  4. Step 4: Simplify right side
    412.40x = 146,197.02
  5. Step 5: Solve for x
    x = 146,197.02/412.40
  6. Step 6: Final answer
    x = 354.50

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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.