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Finding the Fourth Proportional to 895.02, 1,342.70 and 309.97

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Solution

The fourth proportional to 895.02, 1,342.70 and 309.97 is: 465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,342.70 = 309.97 : x
  2. Step 2: Convert to fraction form
    895.02/1,342.70 = 309.97/x
  3. Step 3: Cross multiply
    895.02x = 1,342.70 × 309.97
  4. Step 4: Simplify right side
    895.02x = 416,196.72
  5. Step 5: Solve for x
    x = 416,196.72/895.02
  6. Step 6: Final answer
    x = 465.01

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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.