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Finding the Fourth Proportional to 697.34, 1,045.32 and 307.28

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Solution

The fourth proportional to 697.34, 1,045.32 and 307.28 is: 460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.34 : 1,045.32 = 307.28 : x
  2. Step 2: Convert to fraction form
    697.34/1,045.32 = 307.28/x
  3. Step 3: Cross multiply
    697.34x = 1,045.32 × 307.28
  4. Step 4: Simplify right side
    697.34x = 321,205.93
  5. Step 5: Solve for x
    x = 321,205.93/697.34
  6. Step 6: Final answer
    x = 460.62

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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.