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Finding the Fourth Proportional to 430.83, 645.98 and 286.38

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Solution

The fourth proportional to 430.83, 645.98 and 286.38 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.83 : 645.98 = 286.38 : x
  2. Step 2: Convert to fraction form
    430.83/645.98 = 286.38/x
  3. Step 3: Cross multiply
    430.83x = 645.98 × 286.38
  4. Step 4: Simplify right side
    430.83x = 184,994.32
  5. Step 5: Solve for x
    x = 184,994.32/430.83
  6. Step 6: Final answer
    x = 429.39

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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.