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Finding the Fourth Proportional to 421.95, 633.84 and 357.08

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Solution

The fourth proportional to 421.95, 633.84 and 357.08 is: 536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.95 : 633.84 = 357.08 : x
  2. Step 2: Convert to fraction form
    421.95/633.84 = 357.08/x
  3. Step 3: Cross multiply
    421.95x = 633.84 × 357.08
  4. Step 4: Simplify right side
    421.95x = 226,335.19
  5. Step 5: Solve for x
    x = 226,335.19/421.95
  6. Step 6: Final answer
    x = 536.40

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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.