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Finding the Fourth Proportional to 315, 472.94 and 309.53

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Solution

The fourth proportional to 315, 472.94 and 309.53 is: 464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 472.94 = 309.53 : x
  2. Step 2: Convert to fraction form
    315/472.94 = 309.53/x
  3. Step 3: Cross multiply
    315x = 472.94 × 309.53
  4. Step 4: Simplify right side
    315x = 146,389.12
  5. Step 5: Solve for x
    x = 146,389.12/315
  6. Step 6: Final answer
    x = 464.73

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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.