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Finding the Fourth Proportional to 530.82, 795.46 and 377.05

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Solution

The fourth proportional to 530.82, 795.46 and 377.05 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 795.46 = 377.05 : x
  2. Step 2: Convert to fraction form
    530.82/795.46 = 377.05/x
  3. Step 3: Cross multiply
    530.82x = 795.46 × 377.05
  4. Step 4: Simplify right side
    530.82x = 299,922.33
  5. Step 5: Solve for x
    x = 299,922.33/530.82
  6. Step 6: Final answer
    x = 565.02

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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.