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Finding the Fourth Proportional to 684.81, 945.06 and 390.09

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Solution

The fourth proportional to 684.81, 945.06 and 390.09 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.81 : 945.06 = 390.09 : x
  2. Step 2: Convert to fraction form
    684.81/945.06 = 390.09/x
  3. Step 3: Cross multiply
    684.81x = 945.06 × 390.09
  4. Step 4: Simplify right side
    684.81x = 368,658.46
  5. Step 5: Solve for x
    x = 368,658.46/684.81
  6. Step 6: Final answer
    x = 538.34

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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.