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Finding the Fourth Proportional to 507.51, 761.63 and 315.27

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Solution

The fourth proportional to 507.51, 761.63 and 315.27 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 761.63 = 315.27 : x
  2. Step 2: Convert to fraction form
    507.51/761.63 = 315.27/x
  3. Step 3: Cross multiply
    507.51x = 761.63 × 315.27
  4. Step 4: Simplify right side
    507.51x = 240,117.51
  5. Step 5: Solve for x
    x = 240,117.51/507.51
  6. Step 6: Final answer
    x = 473.13

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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.