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Finding the Fourth Proportional to 651.58, 898.90 and 442

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Solution

The fourth proportional to 651.58, 898.90 and 442 is: 609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.58 : 898.90 = 442 : x
  2. Step 2: Convert to fraction form
    651.58/898.90 = 442/x
  3. Step 3: Cross multiply
    651.58x = 898.90 × 442
  4. Step 4: Simplify right side
    651.58x = 397,313.80
  5. Step 5: Solve for x
    x = 397,313.80/651.58
  6. Step 6: Final answer
    x = 609.77

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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.