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Finding the Fourth Proportional to 480.35, 719.96 and 275.01

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Solution

The fourth proportional to 480.35, 719.96 and 275.01 is: 412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.35 : 719.96 = 275.01 : x
  2. Step 2: Convert to fraction form
    480.35/719.96 = 275.01/x
  3. Step 3: Cross multiply
    480.35x = 719.96 × 275.01
  4. Step 4: Simplify right side
    480.35x = 197,995.51
  5. Step 5: Solve for x
    x = 197,995.51/480.35
  6. Step 6: Final answer
    x = 412.19

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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.