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Finding the Fourth Proportional to 420.66, 630.45 and 416.07

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Solution

The fourth proportional to 420.66, 630.45 and 416.07 is: 623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.66 : 630.45 = 416.07 : x
  2. Step 2: Convert to fraction form
    420.66/630.45 = 416.07/x
  3. Step 3: Cross multiply
    420.66x = 630.45 × 416.07
  4. Step 4: Simplify right side
    420.66x = 262,311.33
  5. Step 5: Solve for x
    x = 262,311.33/420.66
  6. Step 6: Final answer
    x = 623.57

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Why These Related Problems?

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