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Finding the Fourth Proportional to 404.80, 607.52 and 314.08

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Solution

The fourth proportional to 404.80, 607.52 and 314.08 is: 471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.80 : 607.52 = 314.08 : x
  2. Step 2: Convert to fraction form
    404.80/607.52 = 314.08/x
  3. Step 3: Cross multiply
    404.80x = 607.52 × 314.08
  4. Step 4: Simplify right side
    404.80x = 190,809.88
  5. Step 5: Solve for x
    x = 190,809.88/404.80
  6. Step 6: Final answer
    x = 471.37

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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.