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Finding the Fourth Proportional to 613.95, 920.01 and 340.12

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Solution

The fourth proportional to 613.95, 920.01 and 340.12 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.95 : 920.01 = 340.12 : x
  2. Step 2: Convert to fraction form
    613.95/920.01 = 340.12/x
  3. Step 3: Cross multiply
    613.95x = 920.01 × 340.12
  4. Step 4: Simplify right side
    613.95x = 312,913.80
  5. Step 5: Solve for x
    x = 312,913.80/613.95
  6. Step 6: Final answer
    x = 509.67

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1.5x scale

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.