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Finding the Fourth Proportional to 570.96, 855.12 and 480.24

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Solution

The fourth proportional to 570.96, 855.12 and 480.24 is: 719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.96 : 855.12 = 480.24 : x
  2. Step 2: Convert to fraction form
    570.96/855.12 = 480.24/x
  3. Step 3: Cross multiply
    570.96x = 855.12 × 480.24
  4. Step 4: Simplify right side
    570.96x = 410,662.83
  5. Step 5: Solve for x
    x = 410,662.83/570.96
  6. Step 6: Final answer
    x = 719.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.