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Finding the Fourth Proportional to 651.83, 900.50 and 428.29

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Solution

The fourth proportional to 651.83, 900.50 and 428.29 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.83 : 900.50 = 428.29 : x
  2. Step 2: Convert to fraction form
    651.83/900.50 = 428.29/x
  3. Step 3: Cross multiply
    651.83x = 900.50 × 428.29
  4. Step 4: Simplify right side
    651.83x = 385,670.75
  5. Step 5: Solve for x
    x = 385,670.75/651.83
  6. Step 6: Final answer
    x = 591.68

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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.