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Finding the Fourth Proportional to 652.24, 899.94 and 419.32

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Solution

The fourth proportional to 652.24, 899.94 and 419.32 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 899.94 = 419.32 : x
  2. Step 2: Convert to fraction form
    652.24/899.94 = 419.32/x
  3. Step 3: Cross multiply
    652.24x = 899.94 × 419.32
  4. Step 4: Simplify right side
    652.24x = 377,362.84
  5. Step 5: Solve for x
    x = 377,362.84/652.24
  6. Step 6: Final answer
    x = 578.56

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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.