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Finding the Fourth Proportional to 484.42, 669.45 and 430.42

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Solution

The fourth proportional to 484.42, 669.45 and 430.42 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 669.45 = 430.42 : x
  2. Step 2: Convert to fraction form
    484.42/669.45 = 430.42/x
  3. Step 3: Cross multiply
    484.42x = 669.45 × 430.42
  4. Step 4: Simplify right side
    484.42x = 288,144.67
  5. Step 5: Solve for x
    x = 288,144.67/484.42
  6. Step 6: Final answer
    x = 594.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.