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Finding the Fourth Proportional to 384.06, 530.13 and 218.40

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Solution

The fourth proportional to 384.06, 530.13 and 218.40 is: 301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 530.13 = 218.40 : x
  2. Step 2: Convert to fraction form
    384.06/530.13 = 218.40/x
  3. Step 3: Cross multiply
    384.06x = 530.13 × 218.40
  4. Step 4: Simplify right side
    384.06x = 115,779.22
  5. Step 5: Solve for x
    x = 115,779.22/384.06
  6. Step 6: Final answer
    x = 301.46

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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.