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Finding the Fourth Proportional to 420.61, 632.36 and 335.02

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Solution

The fourth proportional to 420.61, 632.36 and 335.02 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.61 : 632.36 = 335.02 : x
  2. Step 2: Convert to fraction form
    420.61/632.36 = 335.02/x
  3. Step 3: Cross multiply
    420.61x = 632.36 × 335.02
  4. Step 4: Simplify right side
    420.61x = 211,853.25
  5. Step 5: Solve for x
    x = 211,853.25/420.61
  6. Step 6: Final answer
    x = 503.68

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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.