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Finding the Fourth Proportional to 581.38, 802.10 and 360.25

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Solution

The fourth proportional to 581.38, 802.10 and 360.25 is: 497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.38 : 802.10 = 360.25 : x
  2. Step 2: Convert to fraction form
    581.38/802.10 = 360.25/x
  3. Step 3: Cross multiply
    581.38x = 802.10 × 360.25
  4. Step 4: Simplify right side
    581.38x = 288,955.42
  5. Step 5: Solve for x
    x = 288,955.42/581.38
  6. Step 6: Final answer
    x = 497.02

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Double scale
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1.5x scale

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.