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Finding the Fourth Proportional to 581.92, 873.66 and 373.12

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Solution

The fourth proportional to 581.92, 873.66 and 373.12 is: 560.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.92 : 873.66 = 373.12 : x
  2. Step 2: Convert to fraction form
    581.92/873.66 = 373.12/x
  3. Step 3: Cross multiply
    581.92x = 873.66 × 373.12
  4. Step 4: Simplify right side
    581.92x = 325,980.02
  5. Step 5: Solve for x
    x = 325,980.02/581.92
  6. Step 6: Final answer
    x = 560.18

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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.