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Finding the Fourth Proportional to 601.84, 904.28 and 577.54

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Solution

The fourth proportional to 601.84, 904.28 and 577.54 is: 867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 904.28 = 577.54 : x
  2. Step 2: Convert to fraction form
    601.84/904.28 = 577.54/x
  3. Step 3: Cross multiply
    601.84x = 904.28 × 577.54
  4. Step 4: Simplify right side
    601.84x = 522,257.87
  5. Step 5: Solve for x
    x = 522,257.87/601.84
  6. Step 6: Final answer
    x = 867.77

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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.