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Finding the Fourth Proportional to 601.34, 830.12 and 454.02

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Solution

The fourth proportional to 601.34, 830.12 and 454.02 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 830.12 = 454.02 : x
  2. Step 2: Convert to fraction form
    601.34/830.12 = 454.02/x
  3. Step 3: Cross multiply
    601.34x = 830.12 × 454.02
  4. Step 4: Simplify right side
    601.34x = 376,888.81
  5. Step 5: Solve for x
    x = 376,888.81/601.34
  6. Step 6: Final answer
    x = 626.75

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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.