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Finding the Fourth Proportional to 384.68, 530.88 and 210.04

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Solution

The fourth proportional to 384.68, 530.88 and 210.04 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 530.88 = 210.04 : x
  2. Step 2: Convert to fraction form
    384.68/530.88 = 210.04/x
  3. Step 3: Cross multiply
    384.68x = 530.88 × 210.04
  4. Step 4: Simplify right side
    384.68x = 111,506.04
  5. Step 5: Solve for x
    x = 111,506.04/384.68
  6. Step 6: Final answer
    x = 289.87

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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.