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Finding the Fourth Proportional to 315.95, 435.72 and 228.47

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Solution

The fourth proportional to 315.95, 435.72 and 228.47 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.95 : 435.72 = 228.47 : x
  2. Step 2: Convert to fraction form
    315.95/435.72 = 228.47/x
  3. Step 3: Cross multiply
    315.95x = 435.72 × 228.47
  4. Step 4: Simplify right side
    315.95x = 99,546.77
  5. Step 5: Solve for x
    x = 99,546.77/315.95
  6. Step 6: Final answer
    x = 315.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.