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Finding the Fourth Proportional to 526.08, 726.05 and 302.10

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Solution

The fourth proportional to 526.08, 726.05 and 302.10 is: 416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 726.05 = 302.10 : x
  2. Step 2: Convert to fraction form
    526.08/726.05 = 302.10/x
  3. Step 3: Cross multiply
    526.08x = 726.05 × 302.10
  4. Step 4: Simplify right side
    526.08x = 219,339.71
  5. Step 5: Solve for x
    x = 219,339.71/526.08
  6. Step 6: Final answer
    x = 416.93

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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.