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Finding the Fourth Proportional to 315.04, 470.12 and 312.64

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Solution

The fourth proportional to 315.04, 470.12 and 312.64 is: 466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.04 : 470.12 = 312.64 : x
  2. Step 2: Convert to fraction form
    315.04/470.12 = 312.64/x
  3. Step 3: Cross multiply
    315.04x = 470.12 × 312.64
  4. Step 4: Simplify right side
    315.04x = 146,978.32
  5. Step 5: Solve for x
    x = 146,978.32/315.04
  6. Step 6: Final answer
    x = 466.54

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Why These Related Problems?

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