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Finding the Fourth Proportional to 897.32, 1,345.74 and 312.18

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Solution

The fourth proportional to 897.32, 1,345.74 and 312.18 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.32 : 1,345.74 = 312.18 : x
  2. Step 2: Convert to fraction form
    897.32/1,345.74 = 312.18/x
  3. Step 3: Cross multiply
    897.32x = 1,345.74 × 312.18
  4. Step 4: Simplify right side
    897.32x = 420,113.11
  5. Step 5: Solve for x
    x = 420,113.11/897.32
  6. Step 6: Final answer
    x = 468.19

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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.