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Finding the Fourth Proportional to 476.93, 716.08 and 293.77

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Solution

The fourth proportional to 476.93, 716.08 and 293.77 is: 441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 716.08 = 293.77 : x
  2. Step 2: Convert to fraction form
    476.93/716.08 = 293.77/x
  3. Step 3: Cross multiply
    476.93x = 716.08 × 293.77
  4. Step 4: Simplify right side
    476.93x = 210,362.82
  5. Step 5: Solve for x
    x = 210,362.82/476.93
  6. Step 6: Final answer
    x = 441.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.