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Finding the Fourth Proportional to 508.62, 700.67 and 419.72

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Solution

The fourth proportional to 508.62, 700.67 and 419.72 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.62 : 700.67 = 419.72 : x
  2. Step 2: Convert to fraction form
    508.62/700.67 = 419.72/x
  3. Step 3: Cross multiply
    508.62x = 700.67 × 419.72
  4. Step 4: Simplify right side
    508.62x = 294,088.01
  5. Step 5: Solve for x
    x = 294,088.01/508.62
  6. Step 6: Final answer
    x = 578.21

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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.