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Finding the Fourth Proportional to 595.65, 821.61 and 429.57

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Solution

The fourth proportional to 595.65, 821.61 and 429.57 is: 592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.65 : 821.61 = 429.57 : x
  2. Step 2: Convert to fraction form
    595.65/821.61 = 429.57/x
  3. Step 3: Cross multiply
    595.65x = 821.61 × 429.57
  4. Step 4: Simplify right side
    595.65x = 352,939.01
  5. Step 5: Solve for x
    x = 352,939.01/595.65
  6. Step 6: Final answer
    x = 592.53

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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.