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Finding the Fourth Proportional to 565.99, 852.84 and 465.52

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Solution

The fourth proportional to 565.99, 852.84 and 465.52 is: 701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.99 : 852.84 = 465.52 : x
  2. Step 2: Convert to fraction form
    565.99/852.84 = 465.52/x
  3. Step 3: Cross multiply
    565.99x = 852.84 × 465.52
  4. Step 4: Simplify right side
    565.99x = 397,014.63
  5. Step 5: Solve for x
    x = 397,014.63/565.99
  6. Step 6: Final answer
    x = 701.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.