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Finding the Fourth Proportional to 412.17, 568.65 and 257.01

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Solution

The fourth proportional to 412.17, 568.65 and 257.01 is: 354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 568.65 = 257.01 : x
  2. Step 2: Convert to fraction form
    412.17/568.65 = 257.01/x
  3. Step 3: Cross multiply
    412.17x = 568.65 × 257.01
  4. Step 4: Simplify right side
    412.17x = 146,148.74
  5. Step 5: Solve for x
    x = 146,148.74/412.17
  6. Step 6: Final answer
    x = 354.58

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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.