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Finding the Fourth Proportional to 559.04, 841.50 and 429.75

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Solution

The fourth proportional to 559.04, 841.50 and 429.75 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.04 : 841.50 = 429.75 : x
  2. Step 2: Convert to fraction form
    559.04/841.50 = 429.75/x
  3. Step 3: Cross multiply
    559.04x = 841.50 × 429.75
  4. Step 4: Simplify right side
    559.04x = 361,634.63
  5. Step 5: Solve for x
    x = 361,634.63/559.04
  6. Step 6: Final answer
    x = 646.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.