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Finding the Fourth Proportional to 649.36, 895.64 and 413.07

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Solution

The fourth proportional to 649.36, 895.64 and 413.07 is: 569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 895.64 = 413.07 : x
  2. Step 2: Convert to fraction form
    649.36/895.64 = 413.07/x
  3. Step 3: Cross multiply
    649.36x = 895.64 × 413.07
  4. Step 4: Simplify right side
    649.36x = 369,962.01
  5. Step 5: Solve for x
    x = 369,962.01/649.36
  6. Step 6: Final answer
    x = 569.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.