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Finding the Fourth Proportional to 601.95, 830.55 and 366.06

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Solution

The fourth proportional to 601.95, 830.55 and 366.06 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.95 : 830.55 = 366.06 : x
  2. Step 2: Convert to fraction form
    601.95/830.55 = 366.06/x
  3. Step 3: Cross multiply
    601.95x = 830.55 × 366.06
  4. Step 4: Simplify right side
    601.95x = 304,031.13
  5. Step 5: Solve for x
    x = 304,031.13/601.95
  6. Step 6: Final answer
    x = 505.08

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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.