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Finding the Fourth Proportional to 657.93, 907.98 and 378.24

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Solution

The fourth proportional to 657.93, 907.98 and 378.24 is: 522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.93 : 907.98 = 378.24 : x
  2. Step 2: Convert to fraction form
    657.93/907.98 = 378.24/x
  3. Step 3: Cross multiply
    657.93x = 907.98 × 378.24
  4. Step 4: Simplify right side
    657.93x = 343,434.36
  5. Step 5: Solve for x
    x = 343,434.36/657.93
  6. Step 6: Final answer
    x = 522.00

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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.