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Finding the Fourth Proportional to 657.95, 908.06 and 501.41

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Solution

The fourth proportional to 657.95, 908.06 and 501.41 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 908.06 = 501.41 : x
  2. Step 2: Convert to fraction form
    657.95/908.06 = 501.41/x
  3. Step 3: Cross multiply
    657.95x = 908.06 × 501.41
  4. Step 4: Simplify right side
    657.95x = 455,303.32
  5. Step 5: Solve for x
    x = 455,303.32/657.95
  6. Step 6: Final answer
    x = 692.01

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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.