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Finding the Fourth Proportional to 651.84, 899.86 and 419.10

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Solution

The fourth proportional to 651.84, 899.86 and 419.10 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 899.86 = 419.10 : x
  2. Step 2: Convert to fraction form
    651.84/899.86 = 419.10/x
  3. Step 3: Cross multiply
    651.84x = 899.86 × 419.10
  4. Step 4: Simplify right side
    651.84x = 377,131.33
  5. Step 5: Solve for x
    x = 377,131.33/651.84
  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.