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Finding the Fourth Proportional to 657.40, 907.20 and 358.65

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Solution

The fourth proportional to 657.40, 907.20 and 358.65 is: 494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 907.20 = 358.65 : x
  2. Step 2: Convert to fraction form
    657.40/907.20 = 358.65/x
  3. Step 3: Cross multiply
    657.40x = 907.20 × 358.65
  4. Step 4: Simplify right side
    657.40x = 325,367.28
  5. Step 5: Solve for x
    x = 325,367.28/657.40
  6. Step 6: Final answer
    x = 494.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.