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Finding the Fourth Proportional to 384, 530.01 and 228.84

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Solution

The fourth proportional to 384, 530.01 and 228.84 is: 315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 530.01 = 228.84 : x
  2. Step 2: Convert to fraction form
    384/530.01 = 228.84/x
  3. Step 3: Cross multiply
    384x = 530.01 × 228.84
  4. Step 4: Simplify right side
    384x = 121,287.49
  5. Step 5: Solve for x
    x = 121,287.49/384
  6. Step 6: Final answer
    x = 315.85

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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.