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Finding the Fourth Proportional to 578.01, 797.65 and 316.02

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Solution

The fourth proportional to 578.01, 797.65 and 316.02 is: 436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.01 : 797.65 = 316.02 : x
  2. Step 2: Convert to fraction form
    578.01/797.65 = 316.02/x
  3. Step 3: Cross multiply
    578.01x = 797.65 × 316.02
  4. Step 4: Simplify right side
    578.01x = 252,075.35
  5. Step 5: Solve for x
    x = 252,075.35/578.01
  6. Step 6: Final answer
    x = 436.11

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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.