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Finding the Fourth Proportional to 601.52, 830.10 and 368.66

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Solution

The fourth proportional to 601.52, 830.10 and 368.66 is: 508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 830.10 = 368.66 : x
  2. Step 2: Convert to fraction form
    601.52/830.10 = 368.66/x
  3. Step 3: Cross multiply
    601.52x = 830.10 × 368.66
  4. Step 4: Simplify right side
    601.52x = 306,024.67
  5. Step 5: Solve for x
    x = 306,024.67/601.52
  6. Step 6: Final answer
    x = 508.75

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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.