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Finding the Fourth Proportional to 617.40, 924.44 and 509.68

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Solution

The fourth proportional to 617.40, 924.44 and 509.68 is: 763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 924.44 = 509.68 : x
  2. Step 2: Convert to fraction form
    617.40/924.44 = 509.68/x
  3. Step 3: Cross multiply
    617.40x = 924.44 × 509.68
  4. Step 4: Simplify right side
    617.40x = 471,168.58
  5. Step 5: Solve for x
    x = 471,168.58/617.40
  6. Step 6: Final answer
    x = 763.15

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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.