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Finding the Fourth Proportional to 565.76, 780.46 and 488

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Solution

The fourth proportional to 565.76, 780.46 and 488 is: 673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 780.46 = 488 : x
  2. Step 2: Convert to fraction form
    565.76/780.46 = 488/x
  3. Step 3: Cross multiply
    565.76x = 780.46 × 488
  4. Step 4: Simplify right side
    565.76x = 380,864.48
  5. Step 5: Solve for x
    x = 380,864.48/565.76
  6. Step 6: Final answer
    x = 673.19

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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.