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Finding the Fourth Proportional to 566.07, 780.95 and 356.16

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Solution

The fourth proportional to 566.07, 780.95 and 356.16 is: 491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 780.95 = 356.16 : x
  2. Step 2: Convert to fraction form
    566.07/780.95 = 356.16/x
  3. Step 3: Cross multiply
    566.07x = 780.95 × 356.16
  4. Step 4: Simplify right side
    566.07x = 278,137.47
  5. Step 5: Solve for x
    x = 278,137.47/566.07
  6. Step 6: Final answer
    x = 491.35

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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.