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Finding the Fourth Proportional to 373.41, 560.72 and 309.02

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Solution

The fourth proportional to 373.41, 560.72 and 309.02 is: 464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.41 : 560.72 = 309.02 : x
  2. Step 2: Convert to fraction form
    373.41/560.72 = 309.02/x
  3. Step 3: Cross multiply
    373.41x = 560.72 × 309.02
  4. Step 4: Simplify right side
    373.41x = 173,271.66
  5. Step 5: Solve for x
    x = 173,271.66/373.41
  6. Step 6: Final answer
    x = 464.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.