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Finding the Fourth Proportional to 315.46, 470.57 and 293.19

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Solution

The fourth proportional to 315.46, 470.57 and 293.19 is: 437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 470.57 = 293.19 : x
  2. Step 2: Convert to fraction form
    315.46/470.57 = 293.19/x
  3. Step 3: Cross multiply
    315.46x = 470.57 × 293.19
  4. Step 4: Simplify right side
    315.46x = 137,966.42
  5. Step 5: Solve for x
    x = 137,966.42/315.46
  6. Step 6: Final answer
    x = 437.35

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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.