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Finding the Fourth Proportional to 657.78, 907.64 and 392.16

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Solution

The fourth proportional to 657.78, 907.64 and 392.16 is: 541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 907.64 = 392.16 : x
  2. Step 2: Convert to fraction form
    657.78/907.64 = 392.16/x
  3. Step 3: Cross multiply
    657.78x = 907.64 × 392.16
  4. Step 4: Simplify right side
    657.78x = 355,940.10
  5. Step 5: Solve for x
    x = 355,940.10/657.78
  6. Step 6: Final answer
    x = 541.12

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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.