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Finding the Fourth Proportional to 602.09, 904.66 and 577.79

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Solution

The fourth proportional to 602.09, 904.66 and 577.79 is: 868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.09 : 904.66 = 577.79 : x
  2. Step 2: Convert to fraction form
    602.09/904.66 = 577.79/x
  3. Step 3: Cross multiply
    602.09x = 904.66 × 577.79
  4. Step 4: Simplify right side
    602.09x = 522,702.06
  5. Step 5: Solve for x
    x = 522,702.06/602.09
  6. Step 6: Final answer
    x = 868.15

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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.