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Finding the Fourth Proportional to 601.51, 830.33 and 405.14

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Solution

The fourth proportional to 601.51, 830.33 and 405.14 is: 559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.51 : 830.33 = 405.14 : x
  2. Step 2: Convert to fraction form
    601.51/830.33 = 405.14/x
  3. Step 3: Cross multiply
    601.51x = 830.33 × 405.14
  4. Step 4: Simplify right side
    601.51x = 336,397.52
  5. Step 5: Solve for x
    x = 336,397.52/601.51
  6. Step 6: Final answer
    x = 559.26

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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.