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Finding the Fourth Proportional to 530.19, 795.33 and 382.62

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Solution

The fourth proportional to 530.19, 795.33 and 382.62 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.19 : 795.33 = 382.62 : x
  2. Step 2: Convert to fraction form
    530.19/795.33 = 382.62/x
  3. Step 3: Cross multiply
    530.19x = 795.33 × 382.62
  4. Step 4: Simplify right side
    530.19x = 304,309.16
  5. Step 5: Solve for x
    x = 304,309.16/530.19
  6. Step 6: Final answer
    x = 573.96

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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.