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Finding the Fourth Proportional to 897.24, 1,345.76 and 312.14

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Solution

The fourth proportional to 897.24, 1,345.76 and 312.14 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.24 : 1,345.76 = 312.14 : x
  2. Step 2: Convert to fraction form
    897.24/1,345.76 = 312.14/x
  3. Step 3: Cross multiply
    897.24x = 1,345.76 × 312.14
  4. Step 4: Simplify right side
    897.24x = 420,057.24
  5. Step 5: Solve for x
    x = 420,057.24/897.24
  6. Step 6: Final answer
    x = 468.17

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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.