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Finding the Fourth Proportional to 652.08, 899.43 and 419.10

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Solution

The fourth proportional to 652.08, 899.43 and 419.10 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 899.43 = 419.10 : x
  2. Step 2: Convert to fraction form
    652.08/899.43 = 419.10/x
  3. Step 3: Cross multiply
    652.08x = 899.43 × 419.10
  4. Step 4: Simplify right side
    652.08x = 376,951.11
  5. Step 5: Solve for x
    x = 376,951.11/652.08
  6. Step 6: Final answer
    x = 578.07

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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.