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Finding the Fourth Proportional to 500.10, 745.12 and 472.16

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Solution

The fourth proportional to 500.10, 745.12 and 472.16 is: 703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 745.12 = 472.16 : x
  2. Step 2: Convert to fraction form
    500.10/745.12 = 472.16/x
  3. Step 3: Cross multiply
    500.10x = 745.12 × 472.16
  4. Step 4: Simplify right side
    500.10x = 351,814.84
  5. Step 5: Solve for x
    x = 351,814.84/500.10
  6. Step 6: Final answer
    x = 703.49

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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.