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Finding the Fourth Proportional to 508.04, 701.06 and 301

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Solution

The fourth proportional to 508.04, 701.06 and 301 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.04 : 701.06 = 301 : x
  2. Step 2: Convert to fraction form
    508.04/701.06 = 301/x
  3. Step 3: Cross multiply
    508.04x = 701.06 × 301
  4. Step 4: Simplify right side
    508.04x = 211,019.06
  5. Step 5: Solve for x
    x = 211,019.06/508.04
  6. Step 6: Final answer
    x = 415.36

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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.