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Finding the Fourth Proportional to 430.94, 594.64 and 256.25

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Solution

The fourth proportional to 430.94, 594.64 and 256.25 is: 353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 594.64 = 256.25 : x
  2. Step 2: Convert to fraction form
    430.94/594.64 = 256.25/x
  3. Step 3: Cross multiply
    430.94x = 594.64 × 256.25
  4. Step 4: Simplify right side
    430.94x = 152,376.50
  5. Step 5: Solve for x
    x = 152,376.50/430.94
  6. Step 6: Final answer
    x = 353.59

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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.