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Finding the Fourth Proportional to 384.95, 531.30 and 253.95

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Solution

The fourth proportional to 384.95, 531.30 and 253.95 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.95 : 531.30 = 253.95 : x
  2. Step 2: Convert to fraction form
    384.95/531.30 = 253.95/x
  3. Step 3: Cross multiply
    384.95x = 531.30 × 253.95
  4. Step 4: Simplify right side
    384.95x = 134,923.64
  5. Step 5: Solve for x
    x = 134,923.64/384.95
  6. Step 6: Final answer
    x = 350.50

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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.