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Finding the Fourth Proportional to 530.32, 795.36 and 375.80

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Solution

The fourth proportional to 530.32, 795.36 and 375.80 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.32 : 795.36 = 375.80 : x
  2. Step 2: Convert to fraction form
    530.32/795.36 = 375.80/x
  3. Step 3: Cross multiply
    530.32x = 795.36 × 375.80
  4. Step 4: Simplify right side
    530.32x = 298,896.29
  5. Step 5: Solve for x
    x = 298,896.29/530.32
  6. Step 6: Final answer
    x = 563.61

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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.