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Finding the Fourth Proportional to 420.46, 580.30 and 316.07

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Solution

The fourth proportional to 420.46, 580.30 and 316.07 is: 436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.46 : 580.30 = 316.07 : x
  2. Step 2: Convert to fraction form
    420.46/580.30 = 316.07/x
  3. Step 3: Cross multiply
    420.46x = 580.30 × 316.07
  4. Step 4: Simplify right side
    420.46x = 183,413.91
  5. Step 5: Solve for x
    x = 183,413.91/420.46
  6. Step 6: Final answer
    x = 436.22

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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.