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Finding the Fourth Proportional to 530.17, 795.09 and 205.46

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Solution

The fourth proportional to 530.17, 795.09 and 205.46 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.17 : 795.09 = 205.46 : x
  2. Step 2: Convert to fraction form
    530.17/795.09 = 205.46/x
  3. Step 3: Cross multiply
    530.17x = 795.09 × 205.46
  4. Step 4: Simplify right side
    530.17x = 163,355.22
  5. Step 5: Solve for x
    x = 163,355.22/530.17
  6. Step 6: Final answer
    x = 308.12

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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.