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Finding the Fourth Proportional to 345.61, 476.72 and 221.07

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Solution

The fourth proportional to 345.61, 476.72 and 221.07 is: 304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.61 : 476.72 = 221.07 : x
  2. Step 2: Convert to fraction form
    345.61/476.72 = 221.07/x
  3. Step 3: Cross multiply
    345.61x = 476.72 × 221.07
  4. Step 4: Simplify right side
    345.61x = 105,389.13
  5. Step 5: Solve for x
    x = 105,389.13/345.61
  6. Step 6: Final answer
    x = 304.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.