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Finding the Fourth Proportional to 314.64, 434.52 and 282.04

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Solution

The fourth proportional to 314.64, 434.52 and 282.04 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 434.52 = 282.04 : x
  2. Step 2: Convert to fraction form
    314.64/434.52 = 282.04/x
  3. Step 3: Cross multiply
    314.64x = 434.52 × 282.04
  4. Step 4: Simplify right side
    314.64x = 122,552.02
  5. Step 5: Solve for x
    x = 122,552.02/314.64
  6. Step 6: Final answer
    x = 389.50

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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.