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Finding the Fourth Proportional to 565.66, 780.15 and 407.98

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Solution

The fourth proportional to 565.66, 780.15 and 407.98 is: 562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.66 : 780.15 = 407.98 : x
  2. Step 2: Convert to fraction form
    565.66/780.15 = 407.98/x
  3. Step 3: Cross multiply
    565.66x = 780.15 × 407.98
  4. Step 4: Simplify right side
    565.66x = 318,285.60
  5. Step 5: Solve for x
    x = 318,285.60/565.66
  6. Step 6: Final answer
    x = 562.68

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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.