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Finding the Fourth Proportional to 430.86, 642.90 and 404.73

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Solution

The fourth proportional to 430.86, 642.90 and 404.73 is: 603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 642.90 = 404.73 : x
  2. Step 2: Convert to fraction form
    430.86/642.90 = 404.73/x
  3. Step 3: Cross multiply
    430.86x = 642.90 × 404.73
  4. Step 4: Simplify right side
    430.86x = 260,200.92
  5. Step 5: Solve for x
    x = 260,200.92/430.86
  6. Step 6: Final answer
    x = 603.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.