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Finding the Fourth Proportional to 448.53, 617.63 and 415.86

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Solution

The fourth proportional to 448.53, 617.63 and 415.86 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.53 : 617.63 = 415.86 : x
  2. Step 2: Convert to fraction form
    448.53/617.63 = 415.86/x
  3. Step 3: Cross multiply
    448.53x = 617.63 × 415.86
  4. Step 4: Simplify right side
    448.53x = 256,845.55
  5. Step 5: Solve for x
    x = 256,845.55/448.53
  6. Step 6: Final answer
    x = 572.64

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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.