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Finding the Fourth Proportional to 651.08, 898.77 and 429.65

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Solution

The fourth proportional to 651.08, 898.77 and 429.65 is: 593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.08 : 898.77 = 429.65 : x
  2. Step 2: Convert to fraction form
    651.08/898.77 = 429.65/x
  3. Step 3: Cross multiply
    651.08x = 898.77 × 429.65
  4. Step 4: Simplify right side
    651.08x = 386,156.53
  5. Step 5: Solve for x
    x = 386,156.53/651.08
  6. Step 6: Final answer
    x = 593.10

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Why These Related Problems?

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