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Finding the Fourth Proportional to 507.96, 761.62 and 430.95

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Solution

The fourth proportional to 507.96, 761.62 and 430.95 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 761.62 = 430.95 : x
  2. Step 2: Convert to fraction form
    507.96/761.62 = 430.95/x
  3. Step 3: Cross multiply
    507.96x = 761.62 × 430.95
  4. Step 4: Simplify right side
    507.96x = 328,220.14
  5. Step 5: Solve for x
    x = 328,220.14/507.96
  6. Step 6: Final answer
    x = 646.15

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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.