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Finding the Fourth Proportional to 587.35, 811.06 and 430.87

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Solution

The fourth proportional to 587.35, 811.06 and 430.87 is: 594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.35 : 811.06 = 430.87 : x
  2. Step 2: Convert to fraction form
    587.35/811.06 = 430.87/x
  3. Step 3: Cross multiply
    587.35x = 811.06 × 430.87
  4. Step 4: Simplify right side
    587.35x = 349,462.26
  5. Step 5: Solve for x
    x = 349,462.26/587.35
  6. Step 6: Final answer
    x = 594.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.