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Finding the Fourth Proportional to 581.40, 802.17 and 384.57

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Solution

The fourth proportional to 581.40, 802.17 and 384.57 is: 530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.40 : 802.17 = 384.57 : x
  2. Step 2: Convert to fraction form
    581.40/802.17 = 384.57/x
  3. Step 3: Cross multiply
    581.40x = 802.17 × 384.57
  4. Step 4: Simplify right side
    581.40x = 308,490.52
  5. Step 5: Solve for x
    x = 308,490.52/581.40
  6. Step 6: Final answer
    x = 530.60

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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.