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Finding the Fourth Proportional to 507.90, 760.77 and 410.70

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Solution

The fourth proportional to 507.90, 760.77 and 410.70 is: 615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.90 : 760.77 = 410.70 : x
  2. Step 2: Convert to fraction form
    507.90/760.77 = 410.70/x
  3. Step 3: Cross multiply
    507.90x = 760.77 × 410.70
  4. Step 4: Simplify right side
    507.90x = 312,448.24
  5. Step 5: Solve for x
    x = 312,448.24/507.90
  6. Step 6: Final answer
    x = 615.18

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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.