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Finding the Fourth Proportional to 581.94, 802.32 and 476.64

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Solution

The fourth proportional to 581.94, 802.32 and 476.64 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.94 : 802.32 = 476.64 : x
  2. Step 2: Convert to fraction form
    581.94/802.32 = 476.64/x
  3. Step 3: Cross multiply
    581.94x = 802.32 × 476.64
  4. Step 4: Simplify right side
    581.94x = 382,417.80
  5. Step 5: Solve for x
    x = 382,417.80/581.94
  6. Step 6: Final answer
    x = 657.14

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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.