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Finding the Fourth Proportional to 469.02, 700.25 and 413.65

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Solution

The fourth proportional to 469.02, 700.25 and 413.65 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 700.25 = 413.65 : x
  2. Step 2: Convert to fraction form
    469.02/700.25 = 413.65/x
  3. Step 3: Cross multiply
    469.02x = 700.25 × 413.65
  4. Step 4: Simplify right side
    469.02x = 289,658.41
  5. Step 5: Solve for x
    x = 289,658.41/469.02
  6. Step 6: Final answer
    x = 617.58

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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.