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Finding the Fourth Proportional to 718.04, 990.50 and 419.34

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Solution

The fourth proportional to 718.04, 990.50 and 419.34 is: 578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.04 : 990.50 = 419.34 : x
  2. Step 2: Convert to fraction form
    718.04/990.50 = 419.34/x
  3. Step 3: Cross multiply
    718.04x = 990.50 × 419.34
  4. Step 4: Simplify right side
    718.04x = 415,356.27
  5. Step 5: Solve for x
    x = 415,356.27/718.04
  6. Step 6: Final answer
    x = 578.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.