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Finding the Fourth Proportional to 657.36, 907.08 and 436.23

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Solution

The fourth proportional to 657.36, 907.08 and 436.23 is: 601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.36 : 907.08 = 436.23 : x
  2. Step 2: Convert to fraction form
    657.36/907.08 = 436.23/x
  3. Step 3: Cross multiply
    657.36x = 907.08 × 436.23
  4. Step 4: Simplify right side
    657.36x = 395,695.51
  5. Step 5: Solve for x
    x = 395,695.51/657.36
  6. Step 6: Final answer
    x = 601.95

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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.