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Finding the Fourth Proportional to 530.56, 790.37 and 514.44

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Solution

The fourth proportional to 530.56, 790.37 and 514.44 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 790.37 = 514.44 : x
  2. Step 2: Convert to fraction form
    530.56/790.37 = 514.44/x
  3. Step 3: Cross multiply
    530.56x = 790.37 × 514.44
  4. Step 4: Simplify right side
    530.56x = 406,598.75
  5. Step 5: Solve for x
    x = 406,598.75/530.56
  6. Step 6: Final answer
    x = 766.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.