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Finding the Fourth Proportional to 356.80, 534.29 and 316.10

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Solution

The fourth proportional to 356.80, 534.29 and 316.10 is: 473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 534.29 = 316.10 : x
  2. Step 2: Convert to fraction form
    356.80/534.29 = 316.10/x
  3. Step 3: Cross multiply
    356.80x = 534.29 × 316.10
  4. Step 4: Simplify right side
    356.80x = 168,886.94
  5. Step 5: Solve for x
    x = 168,886.94/356.80
  6. Step 6: Final answer
    x = 473.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.