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Finding the Fourth Proportional to 497.64, 745.83 and 416.24

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Solution

The fourth proportional to 497.64, 745.83 and 416.24 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 745.83 = 416.24 : x
  2. Step 2: Convert to fraction form
    497.64/745.83 = 416.24/x
  3. Step 3: Cross multiply
    497.64x = 745.83 × 416.24
  4. Step 4: Simplify right side
    497.64x = 310,440.55
  5. Step 5: Solve for x
    x = 310,440.55/497.64
  6. Step 6: Final answer
    x = 623.83

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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.