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Finding the Fourth Proportional to 466.49, 698.46 and 357.77

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Solution

The fourth proportional to 466.49, 698.46 and 357.77 is: 535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.49 : 698.46 = 357.77 : x
  2. Step 2: Convert to fraction form
    466.49/698.46 = 357.77/x
  3. Step 3: Cross multiply
    466.49x = 698.46 × 357.77
  4. Step 4: Simplify right side
    466.49x = 249,888.03
  5. Step 5: Solve for x
    x = 249,888.03/466.49
  6. Step 6: Final answer
    x = 535.68

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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.