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Finding the Fourth Proportional to 525.10, 786.75 and 319.18

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Solution

The fourth proportional to 525.10, 786.75 and 319.18 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.10 : 786.75 = 319.18 : x
  2. Step 2: Convert to fraction form
    525.10/786.75 = 319.18/x
  3. Step 3: Cross multiply
    525.10x = 786.75 × 319.18
  4. Step 4: Simplify right side
    525.10x = 251,114.87
  5. Step 5: Solve for x
    x = 251,114.87/525.10
  6. Step 6: Final answer
    x = 478.22

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Why These Related Problems?

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