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Finding the Fourth Proportional to 897.46, 1,345.86 and 312.30

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Solution

The fourth proportional to 897.46, 1,345.86 and 312.30 is: 468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.46 : 1,345.86 = 312.30 : x
  2. Step 2: Convert to fraction form
    897.46/1,345.86 = 312.30/x
  3. Step 3: Cross multiply
    897.46x = 1,345.86 × 312.30
  4. Step 4: Simplify right side
    897.46x = 420,312.08
  5. Step 5: Solve for x
    x = 420,312.08/897.46
  6. Step 6: Final answer
    x = 468.34

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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.