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Finding the Fourth Proportional to 448.80, 670.28 and 376.64

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Solution

The fourth proportional to 448.80, 670.28 and 376.64 is: 562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.80 : 670.28 = 376.64 : x
  2. Step 2: Convert to fraction form
    448.80/670.28 = 376.64/x
  3. Step 3: Cross multiply
    448.80x = 670.28 × 376.64
  4. Step 4: Simplify right side
    448.80x = 252,454.26
  5. Step 5: Solve for x
    x = 252,454.26/448.80
  6. Step 6: Final answer
    x = 562.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.