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Finding the Fourth Proportional to 582.93, 870.08 and 504.50

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Solution

The fourth proportional to 582.93, 870.08 and 504.50 is: 753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.93 : 870.08 = 504.50 : x
  2. Step 2: Convert to fraction form
    582.93/870.08 = 504.50/x
  3. Step 3: Cross multiply
    582.93x = 870.08 × 504.50
  4. Step 4: Simplify right side
    582.93x = 438,948.49
  5. Step 5: Solve for x
    x = 438,948.49/582.93
  6. Step 6: Final answer
    x = 753.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.