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Finding the Fourth Proportional to 525.10, 724.76 and 328.76

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Solution

The fourth proportional to 525.10, 724.76 and 328.76 is: 453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.10 : 724.76 = 328.76 : x
  2. Step 2: Convert to fraction form
    525.10/724.76 = 328.76/x
  3. Step 3: Cross multiply
    525.10x = 724.76 × 328.76
  4. Step 4: Simplify right side
    525.10x = 238,272.10
  5. Step 5: Solve for x
    x = 238,272.10/525.10
  6. Step 6: Final answer
    x = 453.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.