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Finding the Fourth Proportional to 420.47, 630.78 and 204.07

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Solution

The fourth proportional to 420.47, 630.78 and 204.07 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.47 : 630.78 = 204.07 : x
  2. Step 2: Convert to fraction form
    420.47/630.78 = 204.07/x
  3. Step 3: Cross multiply
    420.47x = 630.78 × 204.07
  4. Step 4: Simplify right side
    420.47x = 128,719.10
  5. Step 5: Solve for x
    x = 128,719.10/420.47
  6. Step 6: Final answer
    x = 306.13

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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.