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Finding the Fourth Proportional to 557.55, 769.59 and 460.35

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Solution

The fourth proportional to 557.55, 769.59 and 460.35 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.55 : 769.59 = 460.35 : x
  2. Step 2: Convert to fraction form
    557.55/769.59 = 460.35/x
  3. Step 3: Cross multiply
    557.55x = 769.59 × 460.35
  4. Step 4: Simplify right side
    557.55x = 354,280.76
  5. Step 5: Solve for x
    x = 354,280.76/557.55
  6. Step 6: Final answer
    x = 635.42

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1.5x scale

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.