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Finding the Fourth Proportional to 530.87, 795.82 and 188.79

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Solution

The fourth proportional to 530.87, 795.82 and 188.79 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.87 : 795.82 = 188.79 : x
  2. Step 2: Convert to fraction form
    530.87/795.82 = 188.79/x
  3. Step 3: Cross multiply
    530.87x = 795.82 × 188.79
  4. Step 4: Simplify right side
    530.87x = 150,238.41
  5. Step 5: Solve for x
    x = 150,238.41/530.87
  6. Step 6: Final answer
    x = 283.01

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