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Finding the Fourth Proportional to 497.10, 745.65 and 417.90

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Solution

The fourth proportional to 497.10, 745.65 and 417.90 is: 626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.10 : 745.65 = 417.90 : x
  2. Step 2: Convert to fraction form
    497.10/745.65 = 417.90/x
  3. Step 3: Cross multiply
    497.10x = 745.65 × 417.90
  4. Step 4: Simplify right side
    497.10x = 311,607.14
  5. Step 5: Solve for x
    x = 311,607.14/497.10
  6. Step 6: Final answer
    x = 626.85

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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.