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Finding the Fourth Proportional to 412.16, 569.04 and 257

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Solution

The fourth proportional to 412.16, 569.04 and 257 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 569.04 = 257 : x
  2. Step 2: Convert to fraction form
    412.16/569.04 = 257/x
  3. Step 3: Cross multiply
    412.16x = 569.04 × 257
  4. Step 4: Simplify right side
    412.16x = 146,243.28
  5. Step 5: Solve for x
    x = 146,243.28/412.16
  6. Step 6: Final answer
    x = 354.82

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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.