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Finding the Fourth Proportional to 384.65, 530.85 and 218.90

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Solution

The fourth proportional to 384.65, 530.85 and 218.90 is: 302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.65 : 530.85 = 218.90 : x
  2. Step 2: Convert to fraction form
    384.65/530.85 = 218.90/x
  3. Step 3: Cross multiply
    384.65x = 530.85 × 218.90
  4. Step 4: Simplify right side
    384.65x = 116,205.21
  5. Step 5: Solve for x
    x = 116,205.21/384.65
  6. Step 6: Final answer
    x = 302.11

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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.