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Finding the Fourth Proportional to 578.47, 797.65 and 445.40

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Solution

The fourth proportional to 578.47, 797.65 and 445.40 is: 614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.47 : 797.65 = 445.40 : x
  2. Step 2: Convert to fraction form
    578.47/797.65 = 445.40/x
  3. Step 3: Cross multiply
    578.47x = 797.65 × 445.40
  4. Step 4: Simplify right side
    578.47x = 355,274.02
  5. Step 5: Solve for x
    x = 355,274.02/578.47
  6. Step 6: Final answer
    x = 614.16

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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.