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Finding the Fourth Proportional to 314.04, 432.81 and 258.42

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Solution

The fourth proportional to 314.04, 432.81 and 258.42 is: 356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 432.81 = 258.42 : x
  2. Step 2: Convert to fraction form
    314.04/432.81 = 258.42/x
  3. Step 3: Cross multiply
    314.04x = 432.81 × 258.42
  4. Step 4: Simplify right side
    314.04x = 111,846.76
  5. Step 5: Solve for x
    x = 111,846.76/314.04
  6. Step 6: Final answer
    x = 356.15

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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.