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Finding the Fourth Proportional to 530.56, 795.63 and 205.88

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Solution

The fourth proportional to 530.56, 795.63 and 205.88 is: 308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 795.63 = 205.88 : x
  2. Step 2: Convert to fraction form
    530.56/795.63 = 205.88/x
  3. Step 3: Cross multiply
    530.56x = 795.63 × 205.88
  4. Step 4: Simplify right side
    530.56x = 163,804.30
  5. Step 5: Solve for x
    x = 163,804.30/530.56
  6. Step 6: Final answer
    x = 308.74

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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.