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Finding the Fourth Proportional to 315.00, 472.46 and 98.58

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Solution

The fourth proportional to 315.00, 472.46 and 98.58 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.00 : 472.46 = 98.58 : x
  2. Step 2: Convert to fraction form
    315.00/472.46 = 98.58/x
  3. Step 3: Cross multiply
    315.00x = 472.46 × 98.58
  4. Step 4: Simplify right side
    315.00x = 46,572.74
  5. Step 5: Solve for x
    x = 46,572.74/315.00
  6. Step 6: Final answer
    x = 147.85

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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.