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Finding the Fourth Proportional to 530.31, 795.86 and 205.67

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Solution

The fourth proportional to 530.31, 795.86 and 205.67 is: 308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.31 : 795.86 = 205.67 : x
  2. Step 2: Convert to fraction form
    530.31/795.86 = 205.67/x
  3. Step 3: Cross multiply
    530.31x = 795.86 × 205.67
  4. Step 4: Simplify right side
    530.31x = 163,686.26
  5. Step 5: Solve for x
    x = 163,686.26/530.31
  6. Step 6: Final answer
    x = 308.66

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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.