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Finding the Fourth Proportional to 565.42, 780.88 and 504.34

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Solution

The fourth proportional to 565.42, 780.88 and 504.34 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 780.88 = 504.34 : x
  2. Step 2: Convert to fraction form
    565.42/780.88 = 504.34/x
  3. Step 3: Cross multiply
    565.42x = 780.88 × 504.34
  4. Step 4: Simplify right side
    565.42x = 393,829.02
  5. Step 5: Solve for x
    x = 393,829.02/565.42
  6. Step 6: Final answer
    x = 696.52

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Why These Related Problems?

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