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Finding the Fourth Proportional to 617.30, 920.74 and 524.96

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Solution

The fourth proportional to 617.30, 920.74 and 524.96 is: 783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 920.74 = 524.96 : x
  2. Step 2: Convert to fraction form
    617.30/920.74 = 524.96/x
  3. Step 3: Cross multiply
    617.30x = 920.74 × 524.96
  4. Step 4: Simplify right side
    617.30x = 483,351.67
  5. Step 5: Solve for x
    x = 483,351.67/617.30
  6. Step 6: Final answer
    x = 783.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.