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Finding the Fourth Proportional to 897.19, 1,345.29 and 312.04

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Solution

The fourth proportional to 897.19, 1,345.29 and 312.04 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.19 : 1,345.29 = 312.04 : x
  2. Step 2: Convert to fraction form
    897.19/1,345.29 = 312.04/x
  3. Step 3: Cross multiply
    897.19x = 1,345.29 × 312.04
  4. Step 4: Simplify right side
    897.19x = 419,784.29
  5. Step 5: Solve for x
    x = 419,784.29/897.19
  6. Step 6: Final answer
    x = 467.89

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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.