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Finding the Fourth Proportional to 504.90, 696.33 and 430.92

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Solution

The fourth proportional to 504.90, 696.33 and 430.92 is: 594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 696.33 = 430.92 : x
  2. Step 2: Convert to fraction form
    504.90/696.33 = 430.92/x
  3. Step 3: Cross multiply
    504.90x = 696.33 × 430.92
  4. Step 4: Simplify right side
    504.90x = 300,062.52
  5. Step 5: Solve for x
    x = 300,062.52/504.90
  6. Step 6: Final answer
    x = 594.30

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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.