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Finding the Fourth Proportional to 578.04, 798.15 and 468.02

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Solution

The fourth proportional to 578.04, 798.15 and 468.02 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 798.15 = 468.02 : x
  2. Step 2: Convert to fraction form
    578.04/798.15 = 468.02/x
  3. Step 3: Cross multiply
    578.04x = 798.15 × 468.02
  4. Step 4: Simplify right side
    578.04x = 373,546.17
  5. Step 5: Solve for x
    x = 373,546.17/578.04
  6. Step 6: Final answer
    x = 646.23

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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.