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Finding the Fourth Proportional to 584.79, 806.99 and 332.76

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Solution

The fourth proportional to 584.79, 806.99 and 332.76 is: 459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.79 : 806.99 = 332.76 : x
  2. Step 2: Convert to fraction form
    584.79/806.99 = 332.76/x
  3. Step 3: Cross multiply
    584.79x = 806.99 × 332.76
  4. Step 4: Simplify right side
    584.79x = 268,530.55
  5. Step 5: Solve for x
    x = 268,530.55/584.79
  6. Step 6: Final answer
    x = 459.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.