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Finding the Fourth Proportional to 480.24, 719.28 and 464.04

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Solution

The fourth proportional to 480.24, 719.28 and 464.04 is: 695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.24 : 719.28 = 464.04 : x
  2. Step 2: Convert to fraction form
    480.24/719.28 = 464.04/x
  3. Step 3: Cross multiply
    480.24x = 719.28 × 464.04
  4. Step 4: Simplify right side
    480.24x = 333,774.69
  5. Step 5: Solve for x
    x = 333,774.69/480.24
  6. Step 6: Final answer
    x = 695.02

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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.