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Finding the Fourth Proportional to 384.72, 530.92 and 210.06

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Solution

The fourth proportional to 384.72, 530.92 and 210.06 is: 289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 530.92 = 210.06 : x
  2. Step 2: Convert to fraction form
    384.72/530.92 = 210.06/x
  3. Step 3: Cross multiply
    384.72x = 530.92 × 210.06
  4. Step 4: Simplify right side
    384.72x = 111,525.06
  5. Step 5: Solve for x
    x = 111,525.06/384.72
  6. Step 6: Final answer
    x = 289.89

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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.