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Finding the Fourth Proportional to 508.21, 701.65 and 415.18

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Solution

The fourth proportional to 508.21, 701.65 and 415.18 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.21 : 701.65 = 415.18 : x
  2. Step 2: Convert to fraction form
    508.21/701.65 = 415.18/x
  3. Step 3: Cross multiply
    508.21x = 701.65 × 415.18
  4. Step 4: Simplify right side
    508.21x = 291,307.54
  5. Step 5: Solve for x
    x = 291,307.54/508.21
  6. Step 6: Final answer
    x = 573.21

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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.