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Finding the Fourth Proportional to 617.87, 924.66 and 383.51

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Solution

The fourth proportional to 617.87, 924.66 and 383.51 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 924.66 = 383.51 : x
  2. Step 2: Convert to fraction form
    617.87/924.66 = 383.51/x
  3. Step 3: Cross multiply
    617.87x = 924.66 × 383.51
  4. Step 4: Simplify right side
    617.87x = 354,618.67
  5. Step 5: Solve for x
    x = 354,618.67/617.87
  6. Step 6: Final answer
    x = 573.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.