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Finding the Fourth Proportional to 584.16, 875.76 and 378.24

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Solution

The fourth proportional to 584.16, 875.76 and 378.24 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 875.76 = 378.24 : x
  2. Step 2: Convert to fraction form
    584.16/875.76 = 378.24/x
  3. Step 3: Cross multiply
    584.16x = 875.76 × 378.24
  4. Step 4: Simplify right side
    584.16x = 331,247.46
  5. Step 5: Solve for x
    x = 331,247.46/584.16
  6. Step 6: Final answer
    x = 567.05

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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.