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Finding the Fourth Proportional to 477.22, 715.54 and 203.16

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Solution

The fourth proportional to 477.22, 715.54 and 203.16 is: 304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.22 : 715.54 = 203.16 : x
  2. Step 2: Convert to fraction form
    477.22/715.54 = 203.16/x
  3. Step 3: Cross multiply
    477.22x = 715.54 × 203.16
  4. Step 4: Simplify right side
    477.22x = 145,369.11
  5. Step 5: Solve for x
    x = 145,369.11/477.22
  6. Step 6: Final answer
    x = 304.62

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