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Finding the Fourth Proportional to 356.40, 531.66 and 315.90

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Solution

The fourth proportional to 356.40, 531.66 and 315.90 is: 471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 531.66 = 315.90 : x
  2. Step 2: Convert to fraction form
    356.40/531.66 = 315.90/x
  3. Step 3: Cross multiply
    356.40x = 531.66 × 315.90
  4. Step 4: Simplify right side
    356.40x = 167,952.58
  5. Step 5: Solve for x
    x = 167,952.58/356.40
  6. Step 6: Final answer
    x = 471.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.