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Finding the Fourth Proportional to 657.68, 907.68 and 448.16

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Solution

The fourth proportional to 657.68, 907.68 and 448.16 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 907.68 = 448.16 : x
  2. Step 2: Convert to fraction form
    657.68/907.68 = 448.16/x
  3. Step 3: Cross multiply
    657.68x = 907.68 × 448.16
  4. Step 4: Simplify right side
    657.68x = 406,785.87
  5. Step 5: Solve for x
    x = 406,785.87/657.68
  6. Step 6: Final answer
    x = 618.52

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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.