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Finding the Fourth Proportional to 507.80, 700.32 and 368.84

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Solution

The fourth proportional to 507.80, 700.32 and 368.84 is: 508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.80 : 700.32 = 368.84 : x
  2. Step 2: Convert to fraction form
    507.80/700.32 = 368.84/x
  3. Step 3: Cross multiply
    507.80x = 700.32 × 368.84
  4. Step 4: Simplify right side
    507.80x = 258,306.03
  5. Step 5: Solve for x
    x = 258,306.03/507.80
  6. Step 6: Final answer
    x = 508.68

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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.