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Finding the Fourth Proportional to 607.30, 909.76 and 290.23

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Solution

The fourth proportional to 607.30, 909.76 and 290.23 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.30 : 909.76 = 290.23 : x
  2. Step 2: Convert to fraction form
    607.30/909.76 = 290.23/x
  3. Step 3: Cross multiply
    607.30x = 909.76 × 290.23
  4. Step 4: Simplify right side
    607.30x = 264,041.49
  5. Step 5: Solve for x
    x = 264,041.49/607.30
  6. Step 6: Final answer
    x = 434.78

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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.