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Finding the Fourth Proportional to 565.46, 777.78 and 465.16

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Solution

The fourth proportional to 565.46, 777.78 and 465.16 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 777.78 = 465.16 : x
  2. Step 2: Convert to fraction form
    565.46/777.78 = 465.16/x
  3. Step 3: Cross multiply
    565.46x = 777.78 × 465.16
  4. Step 4: Simplify right side
    565.46x = 361,792.14
  5. Step 5: Solve for x
    x = 361,792.14/565.46
  6. Step 6: Final answer
    x = 639.82

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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.