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Finding the Fourth Proportional to 657.63, 907.50 and 408.95

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Solution

The fourth proportional to 657.63, 907.50 and 408.95 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.63 : 907.50 = 408.95 : x
  2. Step 2: Convert to fraction form
    657.63/907.50 = 408.95/x
  3. Step 3: Cross multiply
    657.63x = 907.50 × 408.95
  4. Step 4: Simplify right side
    657.63x = 371,117.81
  5. Step 5: Solve for x
    x = 371,117.81/657.63
  6. Step 6: Final answer
    x = 564.32

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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.