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Finding the Fourth Proportional to 525.04, 723.60 and 510.05

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Solution

The fourth proportional to 525.04, 723.60 and 510.05 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.04 : 723.60 = 510.05 : x
  2. Step 2: Convert to fraction form
    525.04/723.60 = 510.05/x
  3. Step 3: Cross multiply
    525.04x = 723.60 × 510.05
  4. Step 4: Simplify right side
    525.04x = 369,073.99
  5. Step 5: Solve for x
    x = 369,073.99/525.04
  6. Step 6: Final answer
    x = 702.95

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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.