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Finding the Fourth Proportional to 420.80, 584.48 and 414.16

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Solution

The fourth proportional to 420.80, 584.48 and 414.16 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.80 : 584.48 = 414.16 : x
  2. Step 2: Convert to fraction form
    420.80/584.48 = 414.16/x
  3. Step 3: Cross multiply
    420.80x = 584.48 × 414.16
  4. Step 4: Simplify right side
    420.80x = 242,068.24
  5. Step 5: Solve for x
    x = 242,068.24/420.80
  6. Step 6: Final answer
    x = 575.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.