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Finding the Fourth Proportional to 633.93, 875.67 and 510.06

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Solution

The fourth proportional to 633.93, 875.67 and 510.06 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.93 : 875.67 = 510.06 : x
  2. Step 2: Convert to fraction form
    633.93/875.67 = 510.06/x
  3. Step 3: Cross multiply
    633.93x = 875.67 × 510.06
  4. Step 4: Simplify right side
    633.93x = 446,645.61
  5. Step 5: Solve for x
    x = 446,645.61/633.93
  6. Step 6: Final answer
    x = 704.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.