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Finding the Fourth Proportional to 595.96, 827.38 and 578.14

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Solution

The fourth proportional to 595.96, 827.38 and 578.14 is: 802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 827.38 = 578.14 : x
  2. Step 2: Convert to fraction form
    595.96/827.38 = 578.14/x
  3. Step 3: Cross multiply
    595.96x = 827.38 × 578.14
  4. Step 4: Simplify right side
    595.96x = 478,341.47
  5. Step 5: Solve for x
    x = 478,341.47/595.96
  6. Step 6: Final answer
    x = 802.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.