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Finding the Fourth Proportional to 412.64, 569.35 and 237.95

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Solution

The fourth proportional to 412.64, 569.35 and 237.95 is: 328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 569.35 = 237.95 : x
  2. Step 2: Convert to fraction form
    412.64/569.35 = 237.95/x
  3. Step 3: Cross multiply
    412.64x = 569.35 × 237.95
  4. Step 4: Simplify right side
    412.64x = 135,476.83
  5. Step 5: Solve for x
    x = 135,476.83/412.64
  6. Step 6: Final answer
    x = 328.32

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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.