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Finding the Fourth Proportional to 600.02, 828.14 and 435

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Solution

The fourth proportional to 600.02, 828.14 and 435 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 828.14 = 435 : x
  2. Step 2: Convert to fraction form
    600.02/828.14 = 435/x
  3. Step 3: Cross multiply
    600.02x = 828.14 × 435
  4. Step 4: Simplify right side
    600.02x = 360,240.90
  5. Step 5: Solve for x
    x = 360,240.90/600.02
  6. Step 6: Final answer
    x = 600.38

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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.