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Finding the Fourth Proportional to 607.50, 838.35 and 433.15

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Solution

The fourth proportional to 607.50, 838.35 and 433.15 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.50 : 838.35 = 433.15 : x
  2. Step 2: Convert to fraction form
    607.50/838.35 = 433.15/x
  3. Step 3: Cross multiply
    607.50x = 838.35 × 433.15
  4. Step 4: Simplify right side
    607.50x = 363,129.21
  5. Step 5: Solve for x
    x = 363,129.21/607.50
  6. Step 6: Final answer
    x = 597.74

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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.