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Finding the Fourth Proportional to 420.98, 632.02 and 357.26

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Solution

The fourth proportional to 420.98, 632.02 and 357.26 is: 536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.98 : 632.02 = 357.26 : x
  2. Step 2: Convert to fraction form
    420.98/632.02 = 357.26/x
  3. Step 3: Cross multiply
    420.98x = 632.02 × 357.26
  4. Step 4: Simplify right side
    420.98x = 225,795.47
  5. Step 5: Solve for x
    x = 225,795.47/420.98
  6. Step 6: Final answer
    x = 536.36

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