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Finding the Fourth Proportional to 473.64, 653.59 and 260.94

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Solution

The fourth proportional to 473.64, 653.59 and 260.94 is: 360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 653.59 = 260.94 : x
  2. Step 2: Convert to fraction form
    473.64/653.59 = 260.94/x
  3. Step 3: Cross multiply
    473.64x = 653.59 × 260.94
  4. Step 4: Simplify right side
    473.64x = 170,547.77
  5. Step 5: Solve for x
    x = 170,547.77/473.64
  6. Step 6: Final answer
    x = 360.08

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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.