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Finding the Fourth Proportional to 480.90, 719.93 and 448.10

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Solution

The fourth proportional to 480.90, 719.93 and 448.10 is: 670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.90 : 719.93 = 448.10 : x
  2. Step 2: Convert to fraction form
    480.90/719.93 = 448.10/x
  3. Step 3: Cross multiply
    480.90x = 719.93 × 448.10
  4. Step 4: Simplify right side
    480.90x = 322,600.63
  5. Step 5: Solve for x
    x = 322,600.63/480.90
  6. Step 6: Final answer
    x = 670.83

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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.