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Finding the Fourth Proportional to 476.81, 657.84 and 290.24

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Solution

The fourth proportional to 476.81, 657.84 and 290.24 is: 400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.81 : 657.84 = 290.24 : x
  2. Step 2: Convert to fraction form
    476.81/657.84 = 290.24/x
  3. Step 3: Cross multiply
    476.81x = 657.84 × 290.24
  4. Step 4: Simplify right side
    476.81x = 190,931.48
  5. Step 5: Solve for x
    x = 190,931.48/476.81
  6. Step 6: Final answer
    x = 400.44

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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.