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Finding the Fourth Proportional to 560.60, 839.95 and 355.40

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Solution

The fourth proportional to 560.60, 839.95 and 355.40 is: 532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.60 : 839.95 = 355.40 : x
  2. Step 2: Convert to fraction form
    560.60/839.95 = 355.40/x
  3. Step 3: Cross multiply
    560.60x = 839.95 × 355.40
  4. Step 4: Simplify right side
    560.60x = 298,513.14
  5. Step 5: Solve for x
    x = 298,513.14/560.60
  6. Step 6: Final answer
    x = 532.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.