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Finding the Fourth Proportional to 587, 809.58 and 430.22

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Solution

The fourth proportional to 587, 809.58 and 430.22 is: 593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 809.58 = 430.22 : x
  2. Step 2: Convert to fraction form
    587/809.58 = 430.22/x
  3. Step 3: Cross multiply
    587x = 809.58 × 430.22
  4. Step 4: Simplify right side
    587x = 348,297.51
  5. Step 5: Solve for x
    x = 348,297.51/587
  6. Step 6: Final answer
    x = 593.35

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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.