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Finding the Fourth Proportional to 507.88, 760.98 and 291.64

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Solution

The fourth proportional to 507.88, 760.98 and 291.64 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.88 : 760.98 = 291.64 : x
  2. Step 2: Convert to fraction form
    507.88/760.98 = 291.64/x
  3. Step 3: Cross multiply
    507.88x = 760.98 × 291.64
  4. Step 4: Simplify right side
    507.88x = 221,932.21
  5. Step 5: Solve for x
    x = 221,932.21/507.88
  6. Step 6: Final answer
    x = 436.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.