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Finding the Fourth Proportional to 595.75, 821.03 and 429.68

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Solution

The fourth proportional to 595.75, 821.03 and 429.68 is: 592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.75 : 821.03 = 429.68 : x
  2. Step 2: Convert to fraction form
    595.75/821.03 = 429.68/x
  3. Step 3: Cross multiply
    595.75x = 821.03 × 429.68
  4. Step 4: Simplify right side
    595.75x = 352,780.17
  5. Step 5: Solve for x
    x = 352,780.17/595.75
  6. Step 6: Final answer
    x = 592.16

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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.