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Finding the Fourth Proportional to 356.32, 492.66 and 315.28

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Solution

The fourth proportional to 356.32, 492.66 and 315.28 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.32 : 492.66 = 315.28 : x
  2. Step 2: Convert to fraction form
    356.32/492.66 = 315.28/x
  3. Step 3: Cross multiply
    356.32x = 492.66 × 315.28
  4. Step 4: Simplify right side
    356.32x = 155,325.84
  5. Step 5: Solve for x
    x = 155,325.84/356.32
  6. Step 6: Final answer
    x = 435.92

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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.