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Finding the Fourth Proportional to 581.60, 802.32 and 433.76

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Solution

The fourth proportional to 581.60, 802.32 and 433.76 is: 598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 802.32 = 433.76 : x
  2. Step 2: Convert to fraction form
    581.60/802.32 = 433.76/x
  3. Step 3: Cross multiply
    581.60x = 802.32 × 433.76
  4. Step 4: Simplify right side
    581.60x = 348,014.32
  5. Step 5: Solve for x
    x = 348,014.32/581.60
  6. Step 6: Final answer
    x = 598.37

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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.