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Finding the Fourth Proportional to 617.02, 924.73 and 291.72

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Solution

The fourth proportional to 617.02, 924.73 and 291.72 is: 437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.02 : 924.73 = 291.72 : x
  2. Step 2: Convert to fraction form
    617.02/924.73 = 291.72/x
  3. Step 3: Cross multiply
    617.02x = 924.73 × 291.72
  4. Step 4: Simplify right side
    617.02x = 269,762.24
  5. Step 5: Solve for x
    x = 269,762.24/617.02
  6. Step 6: Final answer
    x = 437.20

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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.