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Finding the Fourth Proportional to 570.18, 852.84 and 484.32

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Solution

The fourth proportional to 570.18, 852.84 and 484.32 is: 724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.18 : 852.84 = 484.32 : x
  2. Step 2: Convert to fraction form
    570.18/852.84 = 484.32/x
  3. Step 3: Cross multiply
    570.18x = 852.84 × 484.32
  4. Step 4: Simplify right side
    570.18x = 413,047.47
  5. Step 5: Solve for x
    x = 413,047.47/570.18
  6. Step 6: Final answer
    x = 724.42

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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.