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Finding the Fourth Proportional to 476.61, 657.84 and 290.22

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Solution

The fourth proportional to 476.61, 657.84 and 290.22 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.61 : 657.84 = 290.22 : x
  2. Step 2: Convert to fraction form
    476.61/657.84 = 290.22/x
  3. Step 3: Cross multiply
    476.61x = 657.84 × 290.22
  4. Step 4: Simplify right side
    476.61x = 190,918.32
  5. Step 5: Solve for x
    x = 190,918.32/476.61
  6. Step 6: Final answer
    x = 400.58

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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.