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Finding the Fourth Proportional to 508.69, 701.35 and 415.34

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Solution

The fourth proportional to 508.69, 701.35 and 415.34 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.69 : 701.35 = 415.34 : x
  2. Step 2: Convert to fraction form
    508.69/701.35 = 415.34/x
  3. Step 3: Cross multiply
    508.69x = 701.35 × 415.34
  4. Step 4: Simplify right side
    508.69x = 291,298.71
  5. Step 5: Solve for x
    x = 291,298.71/508.69
  6. Step 6: Final answer
    x = 572.64

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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.