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Finding the Fourth Proportional to 651.49, 899.66 and 419.02

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Solution

The fourth proportional to 651.49, 899.66 and 419.02 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.49 : 899.66 = 419.02 : x
  2. Step 2: Convert to fraction form
    651.49/899.66 = 419.02/x
  3. Step 3: Cross multiply
    651.49x = 899.66 × 419.02
  4. Step 4: Simplify right side
    651.49x = 376,975.53
  5. Step 5: Solve for x
    x = 376,975.53/651.49
  6. Step 6: Final answer
    x = 578.64

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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.