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Finding the Fourth Proportional to 604.52, 904.72 and 468.17

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Solution

The fourth proportional to 604.52, 904.72 and 468.17 is: 700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.52 : 904.72 = 468.17 : x
  2. Step 2: Convert to fraction form
    604.52/904.72 = 468.17/x
  3. Step 3: Cross multiply
    604.52x = 904.72 × 468.17
  4. Step 4: Simplify right side
    604.52x = 423,562.76
  5. Step 5: Solve for x
    x = 423,562.76/604.52
  6. Step 6: Final answer
    x = 700.66

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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.