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Finding the Fourth Proportional to 598.36, 899.34 and 585.58

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Solution

The fourth proportional to 598.36, 899.34 and 585.58 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.36 : 899.34 = 585.58 : x
  2. Step 2: Convert to fraction form
    598.36/899.34 = 585.58/x
  3. Step 3: Cross multiply
    598.36x = 899.34 × 585.58
  4. Step 4: Simplify right side
    598.36x = 526,635.52
  5. Step 5: Solve for x
    x = 526,635.52/598.36
  6. Step 6: Final answer
    x = 880.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.