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Finding the Fourth Proportional to 657.36, 905.04 and 509.28

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Solution

The fourth proportional to 657.36, 905.04 and 509.28 is: 701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.36 : 905.04 = 509.28 : x
  2. Step 2: Convert to fraction form
    657.36/905.04 = 509.28/x
  3. Step 3: Cross multiply
    657.36x = 905.04 × 509.28
  4. Step 4: Simplify right side
    657.36x = 460,918.77
  5. Step 5: Solve for x
    x = 460,918.77/657.36
  6. Step 6: Final answer
    x = 701.17

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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.