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Finding the Fourth Proportional to 708.04, 977.28 and 409.33

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Solution

The fourth proportional to 708.04, 977.28 and 409.33 is: 564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.04 : 977.28 = 409.33 : x
  2. Step 2: Convert to fraction form
    708.04/977.28 = 409.33/x
  3. Step 3: Cross multiply
    708.04x = 977.28 × 409.33
  4. Step 4: Simplify right side
    708.04x = 400,032.47
  5. Step 5: Solve for x
    x = 400,032.47/708.04
  6. Step 6: Final answer
    x = 564.98

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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.