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Finding the Fourth Proportional to 581.48, 802.14 and 384.66

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Solution

The fourth proportional to 581.48, 802.14 and 384.66 is: 530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.48 : 802.14 = 384.66 : x
  2. Step 2: Convert to fraction form
    581.48/802.14 = 384.66/x
  3. Step 3: Cross multiply
    581.48x = 802.14 × 384.66
  4. Step 4: Simplify right side
    581.48x = 308,551.17
  5. Step 5: Solve for x
    x = 308,551.17/581.48
  6. Step 6: Final answer
    x = 530.63

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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.