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Finding the Fourth Proportional to 478.98, 719.01 and 260.01

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Solution

The fourth proportional to 478.98, 719.01 and 260.01 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.98 : 719.01 = 260.01 : x
  2. Step 2: Convert to fraction form
    478.98/719.01 = 260.01/x
  3. Step 3: Cross multiply
    478.98x = 719.01 × 260.01
  4. Step 4: Simplify right side
    478.98x = 186,949.79
  5. Step 5: Solve for x
    x = 186,949.79/478.98
  6. Step 6: Final answer
    x = 390.31

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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.