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Finding the Fourth Proportional to 578.58, 797.46 and 468.02

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Solution

The fourth proportional to 578.58, 797.46 and 468.02 is: 645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 797.46 = 468.02 : x
  2. Step 2: Convert to fraction form
    578.58/797.46 = 468.02/x
  3. Step 3: Cross multiply
    578.58x = 797.46 × 468.02
  4. Step 4: Simplify right side
    578.58x = 373,223.24
  5. Step 5: Solve for x
    x = 373,223.24/578.58
  6. Step 6: Final answer
    x = 645.07

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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.