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Finding the Fourth Proportional to 384.68, 530.86 and 210.03

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Solution

The fourth proportional to 384.68, 530.86 and 210.03 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.68 : 530.86 = 210.03 : x
  2. Step 2: Convert to fraction form
    384.68/530.86 = 210.03/x
  3. Step 3: Cross multiply
    384.68x = 530.86 × 210.03
  4. Step 4: Simplify right side
    384.68x = 111,496.53
  5. Step 5: Solve for x
    x = 111,496.53/384.68
  6. Step 6: Final answer
    x = 289.84

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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.