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Finding the Fourth Proportional to 526.08, 726.88 and 416.40

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Solution

The fourth proportional to 526.08, 726.88 and 416.40 is: 575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.08 : 726.88 = 416.40 : x
  2. Step 2: Convert to fraction form
    526.08/726.88 = 416.40/x
  3. Step 3: Cross multiply
    526.08x = 726.88 × 416.40
  4. Step 4: Simplify right side
    526.08x = 302,672.83
  5. Step 5: Solve for x
    x = 302,672.83/526.08
  6. Step 6: Final answer
    x = 575.34

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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.