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Finding the Fourth Proportional to 384.96, 530.12 and 301.72

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Solution

The fourth proportional to 384.96, 530.12 and 301.72 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 530.12 = 301.72 : x
  2. Step 2: Convert to fraction form
    384.96/530.12 = 301.72/x
  3. Step 3: Cross multiply
    384.96x = 530.12 × 301.72
  4. Step 4: Simplify right side
    384.96x = 159,947.81
  5. Step 5: Solve for x
    x = 159,947.81/384.96
  6. Step 6: Final answer
    x = 415.49

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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.