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Finding the Fourth Proportional to 684.94, 945.08 and 390.10

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Solution

The fourth proportional to 684.94, 945.08 and 390.10 is: 538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 945.08 = 390.10 : x
  2. Step 2: Convert to fraction form
    684.94/945.08 = 390.10/x
  3. Step 3: Cross multiply
    684.94x = 945.08 × 390.10
  4. Step 4: Simplify right side
    684.94x = 368,675.71
  5. Step 5: Solve for x
    x = 368,675.71/684.94
  6. Step 6: Final answer
    x = 538.26

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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.