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Finding the Fourth Proportional to 601.68, 830.72 and 389.40

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Solution

The fourth proportional to 601.68, 830.72 and 389.40 is: 537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 830.72 = 389.40 : x
  2. Step 2: Convert to fraction form
    601.68/830.72 = 389.40/x
  3. Step 3: Cross multiply
    601.68x = 830.72 × 389.40
  4. Step 4: Simplify right side
    601.68x = 323,482.37
  5. Step 5: Solve for x
    x = 323,482.37/601.68
  6. Step 6: Final answer
    x = 537.63

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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.