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Finding the Fourth Proportional to 657.58, 907.39 and 405.47

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Solution

The fourth proportional to 657.58, 907.39 and 405.47 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.58 : 907.39 = 405.47 : x
  2. Step 2: Convert to fraction form
    657.58/907.39 = 405.47/x
  3. Step 3: Cross multiply
    657.58x = 907.39 × 405.47
  4. Step 4: Simplify right side
    657.58x = 367,913.87
  5. Step 5: Solve for x
    x = 367,913.87/657.58
  6. Step 6: Final answer
    x = 559.50

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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.