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Finding the Fourth Proportional to 651.90, 899.92 and 419.16

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Solution

The fourth proportional to 651.90, 899.92 and 419.16 is: 578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 899.92 = 419.16 : x
  2. Step 2: Convert to fraction form
    651.90/899.92 = 419.16/x
  3. Step 3: Cross multiply
    651.90x = 899.92 × 419.16
  4. Step 4: Simplify right side
    651.90x = 377,210.47
  5. Step 5: Solve for x
    x = 377,210.47/651.90
  6. Step 6: Final answer
    x = 578.63

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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.