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Finding the Fourth Proportional to 560.94, 773.28 and 429.72

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Solution

The fourth proportional to 560.94, 773.28 and 429.72 is: 592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.94 : 773.28 = 429.72 : x
  2. Step 2: Convert to fraction form
    560.94/773.28 = 429.72/x
  3. Step 3: Cross multiply
    560.94x = 773.28 × 429.72
  4. Step 4: Simplify right side
    560.94x = 332,293.88
  5. Step 5: Solve for x
    x = 332,293.88/560.94
  6. Step 6: Final answer
    x = 592.39

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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.