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Finding the Fourth Proportional to 895.01, 1,342.72 and 310.02

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Solution

The fourth proportional to 895.01, 1,342.72 and 310.02 is: 465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.01 : 1,342.72 = 310.02 : x
  2. Step 2: Convert to fraction form
    895.01/1,342.72 = 310.02/x
  3. Step 3: Cross multiply
    895.01x = 1,342.72 × 310.02
  4. Step 4: Simplify right side
    895.01x = 416,270.05
  5. Step 5: Solve for x
    x = 416,270.05/895.01
  6. Step 6: Final answer
    x = 465.10

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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.