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Finding the Fourth Proportional to 353.66, 530.16 and 209.07

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Solution

The fourth proportional to 353.66, 530.16 and 209.07 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 530.16 = 209.07 : x
  2. Step 2: Convert to fraction form
    353.66/530.16 = 209.07/x
  3. Step 3: Cross multiply
    353.66x = 530.16 × 209.07
  4. Step 4: Simplify right side
    353.66x = 110,840.55
  5. Step 5: Solve for x
    x = 110,840.55/353.66
  6. Step 6: Final answer
    x = 313.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.